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Finding the Fourth Proportional to 665,436.10, 996,841.95 and 398,403.40

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Solution

The fourth proportional to 665,436.10, 996,841.95 and 398,403.40 is: 596,819.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,436.10 : 996,841.95 = 398,403.40 : x
  2. Step 2: Convert to fraction form
    665,436.10/996,841.95 = 398,403.40/x
  3. Step 3: Cross multiply
    665,436.10x = 996,841.95 × 398,403.40
  4. Step 4: Simplify right side
    665,436.10x = 397,145,222,142.63
  5. Step 5: Solve for x
    x = 397,145,222,142.63/665,436.10
  6. Step 6: Final answer
    x = 596,819.47

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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.