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Finding the Fourth Proportional to 284,178.78, 392,153.40 and 163,234.98

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Solution

The fourth proportional to 284,178.78, 392,153.40 and 163,234.98 is: 225,256.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,178.78 : 392,153.40 = 163,234.98 : x
  2. Step 2: Convert to fraction form
    284,178.78/392,153.40 = 163,234.98/x
  3. Step 3: Cross multiply
    284,178.78x = 392,153.40 × 163,234.98
  4. Step 4: Simplify right side
    284,178.78x = 64,013,152,405.93
  5. Step 5: Solve for x
    x = 64,013,152,405.93/284,178.78
  6. Step 6: Final answer
    x = 225,256.62

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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.