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Finding the Fourth Proportional to 459,089.80, 688,634.70 and 159,470.80

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Solution

The fourth proportional to 459,089.80, 688,634.70 and 159,470.80 is: 239,206.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,089.80 : 688,634.70 = 159,470.80 : x
  2. Step 2: Convert to fraction form
    459,089.80/688,634.70 = 159,470.80/x
  3. Step 3: Cross multiply
    459,089.80x = 688,634.70 × 159,470.80
  4. Step 4: Simplify right side
    459,089.80x = 109,817,126,516.76
  5. Step 5: Solve for x
    x = 109,817,126,516.76/459,089.80
  6. Step 6: Final answer
    x = 239,206.20

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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.