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Finding the Fourth Proportional to 512,572.90, 707,357.40 and 283,129.60

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Solution

The fourth proportional to 512,572.90, 707,357.40 and 283,129.60 is: 390,722.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,572.90 : 707,357.40 = 283,129.60 : x
  2. Step 2: Convert to fraction form
    512,572.90/707,357.40 = 283,129.60/x
  3. Step 3: Cross multiply
    512,572.90x = 707,357.40 × 283,129.60
  4. Step 4: Simplify right side
    512,572.90x = 200,273,817,719.04
  5. Step 5: Solve for x
    x = 200,273,817,719.04/512,572.90
  6. Step 6: Final answer
    x = 390,722.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.