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Finding the Fourth Proportional to 229,417.49, 316,646.78 and 127,478

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Solution

The fourth proportional to 229,417.49, 316,646.78 and 127,478 is: 175,947.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,417.49 : 316,646.78 = 127,478 : x
  2. Step 2: Convert to fraction form
    229,417.49/316,646.78 = 127,478/x
  3. Step 3: Cross multiply
    229,417.49x = 316,646.78 × 127,478
  4. Step 4: Simplify right side
    229,417.49x = 40,365,497,583.45
  5. Step 5: Solve for x
    x = 40,365,497,583.45/229,417.49
  6. Step 6: Final answer
    x = 175,947.78

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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.