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Finding the Fourth Proportional to 402,708.60, 604,062.90 and 165,929.40

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Solution

The fourth proportional to 402,708.60, 604,062.90 and 165,929.40 is: 248,894.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,708.60 : 604,062.90 = 165,929.40 : x
  2. Step 2: Convert to fraction form
    402,708.60/604,062.90 = 165,929.40/x
  3. Step 3: Cross multiply
    402,708.60x = 604,062.90 × 165,929.40
  4. Step 4: Simplify right side
    402,708.60x = 100,231,794,559.26
  5. Step 5: Solve for x
    x = 100,231,794,559.26/402,708.60
  6. Step 6: Final answer
    x = 248,894.10

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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.