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Finding the Fourth Proportional to 402,053.72, 602,988.44 and 239,993.52

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Solution

The fourth proportional to 402,053.72, 602,988.44 and 239,993.52 is: 359,935.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,053.72 : 602,988.44 = 239,993.52 : x
  2. Step 2: Convert to fraction form
    402,053.72/602,988.44 = 239,993.52/x
  3. Step 3: Cross multiply
    402,053.72x = 602,988.44 × 239,993.52
  4. Step 4: Simplify right side
    402,053.72x = 144,713,318,234.91
  5. Step 5: Solve for x
    x = 144,713,318,234.91/402,053.72
  6. Step 6: Final answer
    x = 359,935.28

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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.