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Finding the Fourth Proportional to 284,677.44, 392,824.80 and 157,332.48

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Solution

The fourth proportional to 284,677.44, 392,824.80 and 157,332.48 is: 217,102.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,677.44 : 392,824.80 = 157,332.48 : x
  2. Step 2: Convert to fraction form
    284,677.44/392,824.80 = 157,332.48/x
  3. Step 3: Cross multiply
    284,677.44x = 392,824.80 × 157,332.48
  4. Step 4: Simplify right side
    284,677.44x = 61,804,099,989.50
  5. Step 5: Solve for x
    x = 61,804,099,989.50/284,677.44
  6. Step 6: Final answer
    x = 217,102.21

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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.