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Finding the Fourth Proportional to 459,658.83, 689,488.25 and 144,140.34

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Solution

The fourth proportional to 459,658.83, 689,488.25 and 144,140.34 is: 216,210.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,658.83 : 689,488.25 = 144,140.34 : x
  2. Step 2: Convert to fraction form
    459,658.83/689,488.25 = 144,140.34/x
  3. Step 3: Cross multiply
    459,658.83x = 689,488.25 × 144,140.34
  4. Step 4: Simplify right side
    459,658.83x = 99,383,073,456.67
  5. Step 5: Solve for x
    x = 99,383,073,456.67/459,658.83
  6. Step 6: Final answer
    x = 216,210.52

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Similar ratio
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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.