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Finding the Fourth Proportional to 502,053.60, 752,059.80 and 311,930.40

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Solution

The fourth proportional to 502,053.60, 752,059.80 and 311,930.40 is: 467,261.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,053.60 : 752,059.80 = 311,930.40 : x
  2. Step 2: Convert to fraction form
    502,053.60/752,059.80 = 311,930.40/x
  3. Step 3: Cross multiply
    502,053.60x = 752,059.80 × 311,930.40
  4. Step 4: Simplify right side
    502,053.60x = 234,590,314,237.92
  5. Step 5: Solve for x
    x = 234,590,314,237.92/502,053.60
  6. Step 6: Final answer
    x = 467,261.49

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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.