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Finding the Fourth Proportional to 418,909.32, 578,077.60 and 227,923.47

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Solution

The fourth proportional to 418,909.32, 578,077.60 and 227,923.47 is: 314,525.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,909.32 : 578,077.60 = 227,923.47 : x
  2. Step 2: Convert to fraction form
    418,909.32/578,077.60 = 227,923.47/x
  3. Step 3: Cross multiply
    418,909.32x = 578,077.60 × 227,923.47
  4. Step 4: Simplify right side
    418,909.32x = 131,757,452,521.27
  5. Step 5: Solve for x
    x = 131,757,452,521.27/418,909.32
  6. Step 6: Final answer
    x = 314,525.00

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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.