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Finding the Fourth Proportional to 522,047.70, 783,071.55 and 285,851.70

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Solution

The fourth proportional to 522,047.70, 783,071.55 and 285,851.70 is: 428,777.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,047.70 : 783,071.55 = 285,851.70 : x
  2. Step 2: Convert to fraction form
    522,047.70/783,071.55 = 285,851.70/x
  3. Step 3: Cross multiply
    522,047.70x = 783,071.55 × 285,851.70
  4. Step 4: Simplify right side
    522,047.70x = 223,842,333,789.14
  5. Step 5: Solve for x
    x = 223,842,333,789.14/522,047.70
  6. Step 6: Final answer
    x = 428,777.55

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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.