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Finding the Fourth Proportional to 459,673.72, 689,508.18 and 118,116.88

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Solution

The fourth proportional to 459,673.72, 689,508.18 and 118,116.88 is: 177,174.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,673.72 : 689,508.18 = 118,116.88 : x
  2. Step 2: Convert to fraction form
    459,673.72/689,508.18 = 118,116.88/x
  3. Step 3: Cross multiply
    459,673.72x = 689,508.18 × 118,116.88
  4. Step 4: Simplify right side
    459,673.72x = 81,442,554,956.08
  5. Step 5: Solve for x
    x = 81,442,554,956.08/459,673.72
  6. Step 6: Final answer
    x = 177,174.70

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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.