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Finding the Fourth Proportional to 513,167.33, 708,158.69 and 286,833.89

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Solution

The fourth proportional to 513,167.33, 708,158.69 and 286,833.89 is: 395,823.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,167.33 : 708,158.69 = 286,833.89 : x
  2. Step 2: Convert to fraction form
    513,167.33/708,158.69 = 286,833.89/x
  3. Step 3: Cross multiply
    513,167.33x = 708,158.69 × 286,833.89
  4. Step 4: Simplify right side
    513,167.33x = 203,123,910,355.84
  5. Step 5: Solve for x
    x = 203,123,910,355.84/513,167.33
  6. Step 6: Final answer
    x = 395,823.93

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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.