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Finding the Fourth Proportional to 510,099.70, 765,117.15 and 173,139.70

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Solution

The fourth proportional to 510,099.70, 765,117.15 and 173,139.70 is: 259,698.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,099.70 : 765,117.15 = 173,139.70 : x
  2. Step 2: Convert to fraction form
    510,099.70/765,117.15 = 173,139.70/x
  3. Step 3: Cross multiply
    510,099.70x = 765,117.15 × 173,139.70
  4. Step 4: Simplify right side
    510,099.70x = 132,472,153,815.86
  5. Step 5: Solve for x
    x = 132,472,153,815.86/510,099.70
  6. Step 6: Final answer
    x = 259,698.55

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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.