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Finding the Fourth Proportional to 513,167.96, 708,159.55 and 286,834.52

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Solution

The fourth proportional to 513,167.96, 708,159.55 and 286,834.52 is: 395,824.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,167.96 : 708,159.55 = 286,834.52 : x
  2. Step 2: Convert to fraction form
    513,167.96/708,159.55 = 286,834.52/x
  3. Step 3: Cross multiply
    513,167.96x = 708,159.55 × 286,834.52
  4. Step 4: Simplify right side
    513,167.96x = 203,124,600,349.78
  5. Step 5: Solve for x
    x = 203,124,600,349.78/513,167.96
  6. Step 6: Final answer
    x = 395,824.79

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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.