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Finding the Fourth Proportional to 314,877.12, 472,419.36 and 127,838.40

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Solution

The fourth proportional to 314,877.12, 472,419.36 and 127,838.40 is: 191,799.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,877.12 : 472,419.36 = 127,838.40 : x
  2. Step 2: Convert to fraction form
    314,877.12/472,419.36 = 127,838.40/x
  3. Step 3: Cross multiply
    314,877.12x = 472,419.36 × 127,838.40
  4. Step 4: Simplify right side
    314,877.12x = 60,393,335,111.42
  5. Step 5: Solve for x
    x = 60,393,335,111.42/314,877.12
  6. Step 6: Final answer
    x = 191,799.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.