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Finding the Fourth Proportional to 418,705.42, 577,796.88 and 227,718.76

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Solution

The fourth proportional to 418,705.42, 577,796.88 and 227,718.76 is: 314,242.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,705.42 : 577,796.88 = 227,718.76 : x
  2. Step 2: Convert to fraction form
    418,705.42/577,796.88 = 227,718.76/x
  3. Step 3: Cross multiply
    418,705.42x = 577,796.88 × 227,718.76
  4. Step 4: Simplify right side
    418,705.42x = 131,575,189,045.47
  5. Step 5: Solve for x
    x = 131,575,189,045.47/418,705.42
  6. Step 6: Final answer
    x = 314,242.86

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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.