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Finding the Fourth Proportional to 459,641.89, 689,462.97 and 144,123.40

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Solution

The fourth proportional to 459,641.89, 689,462.97 and 144,123.40 is: 216,185.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,641.89 : 689,462.97 = 144,123.40 : x
  2. Step 2: Convert to fraction form
    459,641.89/689,462.97 = 144,123.40/x
  3. Step 3: Cross multiply
    459,641.89x = 689,462.97 × 144,123.40
  4. Step 4: Simplify right side
    459,641.89x = 99,367,747,410.50
  5. Step 5: Solve for x
    x = 99,367,747,410.50/459,641.89
  6. Step 6: Final answer
    x = 216,185.14

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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.