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Finding the Fourth Proportional to 510,874.96, 705,007.28 and 296,139.68

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Solution

The fourth proportional to 510,874.96, 705,007.28 and 296,139.68 is: 408,672.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,874.96 : 705,007.28 = 296,139.68 : x
  2. Step 2: Convert to fraction form
    510,874.96/705,007.28 = 296,139.68/x
  3. Step 3: Cross multiply
    510,874.96x = 705,007.28 × 296,139.68
  4. Step 4: Simplify right side
    510,874.96x = 208,780,630,296.87
  5. Step 5: Solve for x
    x = 208,780,630,296.87/510,874.96
  6. Step 6: Final answer
    x = 408,672.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.