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Finding the Fourth Proportional to 282,404.16, 389,718 and 155,086.20

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Solution

The fourth proportional to 282,404.16, 389,718 and 155,086.20 is: 214,019.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,404.16 : 389,718 = 155,086.20 : x
  2. Step 2: Convert to fraction form
    282,404.16/389,718 = 155,086.20/x
  3. Step 3: Cross multiply
    282,404.16x = 389,718 × 155,086.20
  4. Step 4: Simplify right side
    282,404.16x = 60,439,883,691.60
  5. Step 5: Solve for x
    x = 60,439,883,691.60/282,404.16
  6. Step 6: Final answer
    x = 214,019.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.