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Finding the Fourth Proportional to 370,046.10, 510,665.76 and 200,280.21

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Solution

The fourth proportional to 370,046.10, 510,665.76 and 200,280.21 is: 276,387.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,046.10 : 510,665.76 = 200,280.21 : x
  2. Step 2: Convert to fraction form
    370,046.10/510,665.76 = 200,280.21/x
  3. Step 3: Cross multiply
    370,046.10x = 510,665.76 × 200,280.21
  4. Step 4: Simplify right side
    370,046.10x = 102,276,245,652.61
  5. Step 5: Solve for x
    x = 102,276,245,652.61/370,046.10
  6. Step 6: Final answer
    x = 276,387.85

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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.