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Finding the Fourth Proportional to 459,957.84, 689,942.88 and 144,414.78

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Solution

The fourth proportional to 459,957.84, 689,942.88 and 144,414.78 is: 216,624.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,957.84 : 689,942.88 = 144,414.78 : x
  2. Step 2: Convert to fraction form
    459,957.84/689,942.88 = 144,414.78/x
  3. Step 3: Cross multiply
    459,957.84x = 689,942.88 × 144,414.78
  4. Step 4: Simplify right side
    459,957.84x = 99,637,949,227.77
  5. Step 5: Solve for x
    x = 99,637,949,227.77/459,957.84
  6. Step 6: Final answer
    x = 216,624.09

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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.