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Finding the Fourth Proportional to 459,877.59, 689,815.13 and 144,358.11

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Solution

The fourth proportional to 459,877.59, 689,815.13 and 144,358.11 is: 216,536.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,877.59 : 689,815.13 = 144,358.11 : x
  2. Step 2: Convert to fraction form
    459,877.59/689,815.13 = 144,358.11/x
  3. Step 3: Cross multiply
    459,877.59x = 689,815.13 × 144,358.11
  4. Step 4: Simplify right side
    459,877.59x = 99,580,407,694.41
  5. Step 5: Solve for x
    x = 99,580,407,694.41/459,877.59
  6. Step 6: Final answer
    x = 216,536.77

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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.