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Finding the Fourth Proportional to 418,894.60, 578,077.08 and 227,909.40

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Solution

The fourth proportional to 418,894.60, 578,077.08 and 227,909.40 is: 314,516.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,894.60 : 578,077.08 = 227,909.40 : x
  2. Step 2: Convert to fraction form
    418,894.60/578,077.08 = 227,909.40/x
  3. Step 3: Cross multiply
    418,894.60x = 578,077.08 × 227,909.40
  4. Step 4: Simplify right side
    418,894.60x = 131,749,200,456.55
  5. Step 5: Solve for x
    x = 131,749,200,456.55/418,894.60
  6. Step 6: Final answer
    x = 314,516.35

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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.