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Finding the Fourth Proportional to 428,259.15, 642,339 and 112,740.66

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Solution

The fourth proportional to 428,259.15, 642,339 and 112,740.66 is: 169,097.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,259.15 : 642,339 = 112,740.66 : x
  2. Step 2: Convert to fraction form
    428,259.15/642,339 = 112,740.66/x
  3. Step 3: Cross multiply
    428,259.15x = 642,339 × 112,740.66
  4. Step 4: Simplify right side
    428,259.15x = 72,417,722,803.74
  5. Step 5: Solve for x
    x = 72,417,722,803.74/428,259.15
  6. Step 6: Final answer
    x = 169,097.90

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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.