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Finding the Fourth Proportional to 245,449.86, 338,714.04 and 138,017.10

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Solution

The fourth proportional to 245,449.86, 338,714.04 and 138,017.10 is: 190,459.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,449.86 : 338,714.04 = 138,017.10 : x
  2. Step 2: Convert to fraction form
    245,449.86/338,714.04 = 138,017.10/x
  3. Step 3: Cross multiply
    245,449.86x = 338,714.04 × 138,017.10
  4. Step 4: Simplify right side
    245,449.86x = 46,748,329,530.08
  5. Step 5: Solve for x
    x = 46,748,329,530.08/245,449.86
  6. Step 6: Final answer
    x = 190,459.79

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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.