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Finding the Fourth Proportional to 510,825.40, 766,319.10 and 173,897.80

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Solution

The fourth proportional to 510,825.40, 766,319.10 and 173,897.80 is: 260,874.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,825.40 : 766,319.10 = 173,897.80 : x
  2. Step 2: Convert to fraction form
    510,825.40/766,319.10 = 173,897.80/x
  3. Step 3: Cross multiply
    510,825.40x = 766,319.10 × 173,897.80
  4. Step 4: Simplify right side
    510,825.40x = 133,261,205,587.98
  5. Step 5: Solve for x
    x = 133,261,205,587.98/510,825.40
  6. Step 6: Final answer
    x = 260,874.27

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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.