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Finding the Fourth Proportional to 387,101.94, 580,422.93 and 147,233.40

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Solution

The fourth proportional to 387,101.94, 580,422.93 and 147,233.40 is: 220,762.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,101.94 : 580,422.93 = 147,233.40 : x
  2. Step 2: Convert to fraction form
    387,101.94/580,422.93 = 147,233.40/x
  3. Step 3: Cross multiply
    387,101.94x = 580,422.93 × 147,233.40
  4. Step 4: Simplify right side
    387,101.94x = 85,457,641,421.86
  5. Step 5: Solve for x
    x = 85,457,641,421.86/387,101.94
  6. Step 6: Final answer
    x = 220,762.63

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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.