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Finding the Fourth Proportional to 284,026.53, 391,957.89 and 156,705.87

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Solution

The fourth proportional to 284,026.53, 391,957.89 and 156,705.87 is: 216,254.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,026.53 : 391,957.89 = 156,705.87 : x
  2. Step 2: Convert to fraction form
    284,026.53/391,957.89 = 156,705.87/x
  3. Step 3: Cross multiply
    284,026.53x = 391,957.89 × 156,705.87
  4. Step 4: Simplify right side
    284,026.53x = 61,422,102,155.81
  5. Step 5: Solve for x
    x = 61,422,102,155.81/284,026.53
  6. Step 6: Final answer
    x = 216,254.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.