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Finding the Fourth Proportional to 268,390.40, 402,585.60 and 81,411.20

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Solution

The fourth proportional to 268,390.40, 402,585.60 and 81,411.20 is: 122,116.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,390.40 : 402,585.60 = 81,411.20 : x
  2. Step 2: Convert to fraction form
    268,390.40/402,585.60 = 81,411.20/x
  3. Step 3: Cross multiply
    268,390.40x = 402,585.60 × 81,411.20
  4. Step 4: Simplify right side
    268,390.40x = 32,774,976,798.72
  5. Step 5: Solve for x
    x = 32,774,976,798.72/268,390.40
  6. Step 6: Final answer
    x = 122,116.80

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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.