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Finding the Fourth Proportional to 387,582.30, 580,709.12 and 307,866.15

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Solution

The fourth proportional to 387,582.30, 580,709.12 and 307,866.15 is: 461,271.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,582.30 : 580,709.12 = 307,866.15 : x
  2. Step 2: Convert to fraction form
    387,582.30/580,709.12 = 307,866.15/x
  3. Step 3: Cross multiply
    387,582.30x = 580,709.12 × 307,866.15
  4. Step 4: Simplify right side
    387,582.30x = 178,780,679,504.96
  5. Step 5: Solve for x
    x = 178,780,679,504.96/387,582.30
  6. Step 6: Final answer
    x = 461,271.53

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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.