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Finding the Fourth Proportional to 610,397.64, 842,314.41 and 338,449.32

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Solution

The fourth proportional to 610,397.64, 842,314.41 and 338,449.32 is: 467,041.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,397.64 : 842,314.41 = 338,449.32 : x
  2. Step 2: Convert to fraction form
    610,397.64/842,314.41 = 338,449.32/x
  3. Step 3: Cross multiply
    610,397.64x = 842,314.41 × 338,449.32
  4. Step 4: Simplify right side
    610,397.64x = 285,080,739,290.70
  5. Step 5: Solve for x
    x = 285,080,739,290.70/610,397.64
  6. Step 6: Final answer
    x = 467,041.02

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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.