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Finding the Fourth Proportional to 448,856.98, 676,283.92 and 406,219.66

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Solution

The fourth proportional to 448,856.98, 676,283.92 and 406,219.66 is: 612,043.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,856.98 : 676,283.92 = 406,219.66 : x
  2. Step 2: Convert to fraction form
    448,856.98/676,283.92 = 406,219.66/x
  3. Step 3: Cross multiply
    448,856.98x = 676,283.92 × 406,219.66
  4. Step 4: Simplify right side
    448,856.98x = 274,719,821,339.61
  5. Step 5: Solve for x
    x = 274,719,821,339.61/448,856.98
  6. Step 6: Final answer
    x = 612,043.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.