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Finding the Fourth Proportional to 671,331, 1,006,175.70 and 315,872.76

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Solution

The fourth proportional to 671,331, 1,006,175.70 and 315,872.76 is: 473,422.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,331 : 1,006,175.70 = 315,872.76 : x
  2. Step 2: Convert to fraction form
    671,331/1,006,175.70 = 315,872.76/x
  3. Step 3: Cross multiply
    671,331x = 1,006,175.70 × 315,872.76
  4. Step 4: Simplify right side
    671,331x = 317,823,495,403.93
  5. Step 5: Solve for x
    x = 317,823,495,403.93/671,331
  6. Step 6: Final answer
    x = 473,422.94

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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.