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Finding the Fourth Proportional to 284,161.10, 392,114.40 and 156,828.47

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Solution

The fourth proportional to 284,161.10, 392,114.40 and 156,828.47 is: 216,407.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,161.10 : 392,114.40 = 156,828.47 : x
  2. Step 2: Convert to fraction form
    284,161.10/392,114.40 = 156,828.47/x
  3. Step 3: Cross multiply
    284,161.10x = 392,114.40 × 156,828.47
  4. Step 4: Simplify right side
    284,161.10x = 61,494,701,416.97
  5. Step 5: Solve for x
    x = 61,494,701,416.97/284,161.10
  6. Step 6: Final answer
    x = 216,407.88

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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.