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Finding the Fourth Proportional to 418,461.64, 627,680.86 and 152,227.08

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Solution

The fourth proportional to 418,461.64, 627,680.86 and 152,227.08 is: 228,336.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,461.64 : 627,680.86 = 152,227.08 : x
  2. Step 2: Convert to fraction form
    418,461.64/627,680.86 = 152,227.08/x
  3. Step 3: Cross multiply
    418,461.64x = 627,680.86 × 152,227.08
  4. Step 4: Simplify right side
    418,461.64x = 95,550,024,489.69
  5. Step 5: Solve for x
    x = 95,550,024,489.69/418,461.64
  6. Step 6: Final answer
    x = 228,336.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.