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Finding the Fourth Proportional to 435,761.40, 653,642.10 and 310,423.80

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Solution

The fourth proportional to 435,761.40, 653,642.10 and 310,423.80 is: 465,635.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,761.40 : 653,642.10 = 310,423.80 : x
  2. Step 2: Convert to fraction form
    435,761.40/653,642.10 = 310,423.80/x
  3. Step 3: Cross multiply
    435,761.40x = 653,642.10 × 310,423.80
  4. Step 4: Simplify right side
    435,761.40x = 202,906,064,521.98
  5. Step 5: Solve for x
    x = 202,906,064,521.98/435,761.40
  6. Step 6: Final answer
    x = 465,635.70

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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.