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Finding the Fourth Proportional to 509,228.80, 711,987.20 and 509,228.80

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Solution

The fourth proportional to 509,228.80, 711,987.20 and 509,228.80 is: 711,987.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,228.80 : 711,987.20 = 509,228.80 : x
  2. Step 2: Convert to fraction form
    509,228.80/711,987.20 = 509,228.80/x
  3. Step 3: Cross multiply
    509,228.80x = 711,987.20 × 509,228.80
  4. Step 4: Simplify right side
    509,228.80x = 362,564,387,471.36
  5. Step 5: Solve for x
    x = 362,564,387,471.36/509,228.80
  6. Step 6: Final answer
    x = 711,987.20

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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 (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.