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Finding the Fourth Proportional to 370,490.16, 511,276.96 and 200,724.30

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Solution

The fourth proportional to 370,490.16, 511,276.96 and 200,724.30 is: 276,999.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,490.16 : 511,276.96 = 200,724.30 : x
  2. Step 2: Convert to fraction form
    370,490.16/511,276.96 = 200,724.30/x
  3. Step 3: Cross multiply
    370,490.16x = 511,276.96 × 200,724.30
  4. Step 4: Simplify right side
    370,490.16x = 102,625,709,902.13
  5. Step 5: Solve for x
    x = 102,625,709,902.13/370,490.16
  6. Step 6: Final answer
    x = 276,999.83

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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.