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Finding the Fourth Proportional to 522,051.40, 783,077.10 and 457,769.80

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Solution

The fourth proportional to 522,051.40, 783,077.10 and 457,769.80 is: 686,654.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,051.40 : 783,077.10 = 457,769.80 : x
  2. Step 2: Convert to fraction form
    522,051.40/783,077.10 = 457,769.80/x
  3. Step 3: Cross multiply
    522,051.40x = 783,077.10 × 457,769.80
  4. Step 4: Simplify right side
    522,051.40x = 358,469,047,451.58
  5. Step 5: Solve for x
    x = 358,469,047,451.58/522,051.40
  6. Step 6: Final answer
    x = 686,654.70

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.