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Finding the Fourth Proportional to 387,040.32, 580,262.40 and 120,643.20

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Solution

The fourth proportional to 387,040.32, 580,262.40 and 120,643.20 is: 180,871.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,040.32 : 580,262.40 = 120,643.20 : x
  2. Step 2: Convert to fraction form
    387,040.32/580,262.40 = 120,643.20/x
  3. Step 3: Cross multiply
    387,040.32x = 580,262.40 × 120,643.20
  4. Step 4: Simplify right side
    387,040.32x = 70,004,712,775.68
  5. Step 5: Solve for x
    x = 70,004,712,775.68/387,040.32
  6. Step 6: Final answer
    x = 180,871.89

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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.