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Finding the Fourth Proportional to 386,860.80, 580,291.20 and 307,545.60

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Solution

The fourth proportional to 386,860.80, 580,291.20 and 307,545.60 is: 461,318.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,860.80 : 580,291.20 = 307,545.60 : x
  2. Step 2: Convert to fraction form
    386,860.80/580,291.20 = 307,545.60/x
  3. Step 3: Cross multiply
    386,860.80x = 580,291.20 × 307,545.60
  4. Step 4: Simplify right side
    386,860.80x = 178,466,005,278.72
  5. Step 5: Solve for x
    x = 178,466,005,278.72/386,860.80
  6. Step 6: Final answer
    x = 461,318.40

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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.