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Finding the Fourth Proportional to 284,290.90, 392,232.54 and 163,387.87

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Solution

The fourth proportional to 284,290.90, 392,232.54 and 163,387.87 is: 225,424.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,290.90 : 392,232.54 = 163,387.87 : x
  2. Step 2: Convert to fraction form
    284,290.90/392,232.54 = 163,387.87/x
  3. Step 3: Cross multiply
    284,290.90x = 392,232.54 × 163,387.87
  4. Step 4: Simplify right side
    284,290.90x = 64,086,038,887.41
  5. Step 5: Solve for x
    x = 64,086,038,887.41/284,290.90
  6. Step 6: Final answer
    x = 225,424.17

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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.