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Finding the Fourth Proportional to 284,706.50, 392,899.64 and 169,995.17

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Solution

The fourth proportional to 284,706.50, 392,899.64 and 169,995.17 is: 234,596.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,706.50 : 392,899.64 = 169,995.17 : x
  2. Step 2: Convert to fraction form
    284,706.50/392,899.64 = 169,995.17/x
  3. Step 3: Cross multiply
    284,706.50x = 392,899.64 × 169,995.17
  4. Step 4: Simplify right side
    284,706.50x = 66,791,041,227.01
  5. Step 5: Solve for x
    x = 66,791,041,227.01/284,706.50
  6. Step 6: Final answer
    x = 234,596.12

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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.