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Finding the Fourth Proportional to 521,167.96, 780,964.62 and 387,420.76

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Solution

The fourth proportional to 521,167.96, 780,964.62 and 387,420.76 is: 580,545.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,167.96 : 780,964.62 = 387,420.76 : x
  2. Step 2: Convert to fraction form
    521,167.96/780,964.62 = 387,420.76/x
  3. Step 3: Cross multiply
    521,167.96x = 780,964.62 × 387,420.76
  4. Step 4: Simplify right side
    521,167.96x = 302,561,906,613.51
  5. Step 5: Solve for x
    x = 302,561,906,613.51/521,167.96
  6. Step 6: Final answer
    x = 580,545.87

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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.