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Finding the Fourth Proportional to 418,439.80, 577,440.12 and 227,458

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Solution

The fourth proportional to 418,439.80, 577,440.12 and 227,458 is: 313,888.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,439.80 : 577,440.12 = 227,458 : x
  2. Step 2: Convert to fraction form
    418,439.80/577,440.12 = 227,458/x
  3. Step 3: Cross multiply
    418,439.80x = 577,440.12 × 227,458
  4. Step 4: Simplify right side
    418,439.80x = 131,343,374,814.96
  5. Step 5: Solve for x
    x = 131,343,374,814.96/418,439.80
  6. Step 6: Final answer
    x = 313,888.34

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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.