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Finding the Fourth Proportional to 268,385.83, 402,569.47 and 68,707.93

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Solution

The fourth proportional to 268,385.83, 402,569.47 and 68,707.93 is: 103,059.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,385.83 : 402,569.47 = 68,707.93 : x
  2. Step 2: Convert to fraction form
    268,385.83/402,569.47 = 68,707.93/x
  3. Step 3: Cross multiply
    268,385.83x = 402,569.47 × 68,707.93
  4. Step 4: Simplify right side
    268,385.83x = 27,659,714,964.90
  5. Step 5: Solve for x
    x = 27,659,714,964.90/268,385.83
  6. Step 6: Final answer
    x = 103,059.52

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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.