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Finding the Fourth Proportional to 457,145.40, 685,718.10 and 124,721.40

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Solution

The fourth proportional to 457,145.40, 685,718.10 and 124,721.40 is: 187,082.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,145.40 : 685,718.10 = 124,721.40 : x
  2. Step 2: Convert to fraction form
    457,145.40/685,718.10 = 124,721.40/x
  3. Step 3: Cross multiply
    457,145.40x = 685,718.10 × 124,721.40
  4. Step 4: Simplify right side
    457,145.40x = 85,523,721,437.34
  5. Step 5: Solve for x
    x = 85,523,721,437.34/457,145.40
  6. Step 6: Final answer
    x = 187,082.10

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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.