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Finding the Fourth Proportional to 402,418.65, 554,782.82 and 321,023.16

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Solution

The fourth proportional to 402,418.65, 554,782.82 and 321,023.16 is: 442,569.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,418.65 : 554,782.82 = 321,023.16 : x
  2. Step 2: Convert to fraction form
    402,418.65/554,782.82 = 321,023.16/x
  3. Step 3: Cross multiply
    402,418.65x = 554,782.82 × 321,023.16
  4. Step 4: Simplify right side
    402,418.65x = 178,098,132,385.00
  5. Step 5: Solve for x
    x = 178,098,132,385.00/402,418.65
  6. Step 6: Final answer
    x = 442,569.28

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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.