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Finding the Fourth Proportional to 284,051.16, 391,998.81 and 156,734.95

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Solution

The fourth proportional to 284,051.16, 391,998.81 and 156,734.95 is: 216,298.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,051.16 : 391,998.81 = 156,734.95 : x
  2. Step 2: Convert to fraction form
    284,051.16/391,998.81 = 156,734.95/x
  3. Step 3: Cross multiply
    284,051.16x = 391,998.81 × 156,734.95
  4. Step 4: Simplify right side
    284,051.16x = 61,439,913,885.41
  5. Step 5: Solve for x
    x = 61,439,913,885.41/284,051.16
  6. Step 6: Final answer
    x = 216,298.76

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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.