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Finding the Fourth Proportional to 284,574.11, 392,706.83 and 157,246.97

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Solution

The fourth proportional to 284,574.11, 392,706.83 and 157,246.97 is: 216,997.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,574.11 : 392,706.83 = 157,246.97 : x
  2. Step 2: Convert to fraction form
    284,574.11/392,706.83 = 157,246.97/x
  3. Step 3: Cross multiply
    284,574.11x = 392,706.83 × 157,246.97
  4. Step 4: Simplify right side
    284,574.11x = 61,751,957,545.39
  5. Step 5: Solve for x
    x = 61,751,957,545.39/284,574.11
  6. Step 6: Final answer
    x = 216,997.81

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1.5x scale

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.