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Finding the Fourth Proportional to 416,298, 574,490.16 and 225,311.40

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Solution

The fourth proportional to 416,298, 574,490.16 and 225,311.40 is: 310,929.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,298 : 574,490.16 = 225,311.40 : x
  2. Step 2: Convert to fraction form
    416,298/574,490.16 = 225,311.40/x
  3. Step 3: Cross multiply
    416,298x = 574,490.16 × 225,311.40
  4. Step 4: Simplify right side
    416,298x = 129,439,182,235.82
  5. Step 5: Solve for x
    x = 129,439,182,235.82/416,298
  6. Step 6: Final answer
    x = 310,929.15

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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.