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Finding the Fourth Proportional to 284,102.78, 392,048.52 and 163,158.80

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Solution

The fourth proportional to 284,102.78, 392,048.52 and 163,158.80 is: 225,151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,102.78 : 392,048.52 = 163,158.80 : x
  2. Step 2: Convert to fraction form
    284,102.78/392,048.52 = 163,158.80/x
  3. Step 3: Cross multiply
    284,102.78x = 392,048.52 × 163,158.80
  4. Step 4: Simplify right side
    284,102.78x = 63,966,166,064.98
  5. Step 5: Solve for x
    x = 63,966,166,064.98/284,102.78
  6. Step 6: Final answer
    x = 225,151.50

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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.