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Finding the Fourth Proportional to 418,759.20, 577,897.20 and 227,782.80

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Solution

The fourth proportional to 418,759.20, 577,897.20 and 227,782.80 is: 314,345.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,759.20 : 577,897.20 = 227,782.80 : x
  2. Step 2: Convert to fraction form
    418,759.20/577,897.20 = 227,782.80/x
  3. Step 3: Cross multiply
    418,759.20x = 577,897.20 × 227,782.80
  4. Step 4: Simplify right side
    418,759.20x = 131,635,042,328.16
  5. Step 5: Solve for x
    x = 131,635,042,328.16/418,759.20
  6. Step 6: Final answer
    x = 314,345.43

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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.