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Finding the Fourth Proportional to 402,053.10, 602,987.51 and 239,992.89

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Solution

The fourth proportional to 402,053.10, 602,987.51 and 239,992.89 is: 359,934.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,053.10 : 602,987.51 = 239,992.89 : x
  2. Step 2: Convert to fraction form
    402,053.10/602,987.51 = 239,992.89/x
  3. Step 3: Cross multiply
    402,053.10x = 602,987.51 × 239,992.89
  4. Step 4: Simplify right side
    402,053.10x = 144,712,712,743.85
  5. Step 5: Solve for x
    x = 144,712,712,743.85/402,053.10
  6. Step 6: Final answer
    x = 359,934.33

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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.