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Finding the Fourth Proportional to 457,915.20, 686,678.40 and 221,330.40

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Solution

The fourth proportional to 457,915.20, 686,678.40 and 221,330.40 is: 331,901.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,915.20 : 686,678.40 = 221,330.40 : x
  2. Step 2: Convert to fraction form
    457,915.20/686,678.40 = 221,330.40/x
  3. Step 3: Cross multiply
    457,915.20x = 686,678.40 × 221,330.40
  4. Step 4: Simplify right side
    457,915.20x = 151,982,804,943.36
  5. Step 5: Solve for x
    x = 151,982,804,943.36/457,915.20
  6. Step 6: Final answer
    x = 331,901.64

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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.