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Finding the Fourth Proportional to 284,079.68, 392,053.92 and 164,840

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Solution

The fourth proportional to 284,079.68, 392,053.92 and 164,840 is: 227,493.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,079.68 : 392,053.92 = 164,840 : x
  2. Step 2: Convert to fraction form
    284,079.68/392,053.92 = 164,840/x
  3. Step 3: Cross multiply
    284,079.68x = 392,053.92 × 164,840
  4. Step 4: Simplify right side
    284,079.68x = 64,626,168,172.80
  5. Step 5: Solve for x
    x = 64,626,168,172.80/284,079.68
  6. Step 6: Final answer
    x = 227,493.10

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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.