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Finding the Fourth Proportional to 387,100.95, 580,657.28 and 134,389.47

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Solution

The fourth proportional to 387,100.95, 580,657.28 and 134,389.47 is: 201,586.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,100.95 : 580,657.28 = 134,389.47 : x
  2. Step 2: Convert to fraction form
    387,100.95/580,657.28 = 134,389.47/x
  3. Step 3: Cross multiply
    387,100.95x = 580,657.28 × 134,389.47
  4. Step 4: Simplify right side
    387,100.95x = 78,034,223,438.89
  5. Step 5: Solve for x
    x = 78,034,223,438.89/387,100.95
  6. Step 6: Final answer
    x = 201,586.24

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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.