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Finding the Fourth Proportional to 387,510.80, 580,834.20 and 150,774.80

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Solution

The fourth proportional to 387,510.80, 580,834.20 and 150,774.80 is: 225,994.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,510.80 : 580,834.20 = 150,774.80 : x
  2. Step 2: Convert to fraction form
    387,510.80/580,834.20 = 150,774.80/x
  3. Step 3: Cross multiply
    387,510.80x = 580,834.20 × 150,774.80
  4. Step 4: Simplify right side
    387,510.80x = 87,575,160,338.16
  5. Step 5: Solve for x
    x = 87,575,160,338.16/387,510.80
  6. Step 6: Final answer
    x = 225,994.12

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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.