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Finding the Fourth Proportional to 487,429.60, 730,885.20 and 206,629.60

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Solution

The fourth proportional to 487,429.60, 730,885.20 and 206,629.60 is: 309,834.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,429.60 : 730,885.20 = 206,629.60 : x
  2. Step 2: Convert to fraction form
    487,429.60/730,885.20 = 206,629.60/x
  3. Step 3: Cross multiply
    487,429.60x = 730,885.20 × 206,629.60
  4. Step 4: Simplify right side
    487,429.60x = 151,022,516,521.92
  5. Step 5: Solve for x
    x = 151,022,516,521.92/487,429.60
  6. Step 6: Final answer
    x = 309,834.52

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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.