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Finding the Fourth Proportional to 457,145.10, 685,717.65 and 297,712.80

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Solution

The fourth proportional to 457,145.10, 685,717.65 and 297,712.80 is: 446,569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,145.10 : 685,717.65 = 297,712.80 : x
  2. Step 2: Convert to fraction form
    457,145.10/685,717.65 = 297,712.80/x
  3. Step 3: Cross multiply
    457,145.10x = 685,717.65 × 297,712.80
  4. Step 4: Simplify right side
    457,145.10x = 204,146,921,590.92
  5. Step 5: Solve for x
    x = 204,146,921,590.92/457,145.10
  6. Step 6: Final answer
    x = 446,569.20

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Similar ratio
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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.