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Finding the Fourth Proportional to 513,668.59, 708,800.52 and 295,948.48

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Solution

The fourth proportional to 513,668.59, 708,800.52 and 295,948.48 is: 408,373.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,668.59 : 708,800.52 = 295,948.48 : x
  2. Step 2: Convert to fraction form
    513,668.59/708,800.52 = 295,948.48/x
  3. Step 3: Cross multiply
    513,668.59x = 708,800.52 × 295,948.48
  4. Step 4: Simplify right side
    513,668.59x = 209,768,436,517.21
  5. Step 5: Solve for x
    x = 209,768,436,517.21/513,668.59
  6. Step 6: Final answer
    x = 408,373.10

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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.