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Finding the Fourth Proportional to 291,575.34, 402,449.13 and 189,854.96

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Solution

The fourth proportional to 291,575.34, 402,449.13 and 189,854.96 is: 262,048.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,575.34 : 402,449.13 = 189,854.96 : x
  2. Step 2: Convert to fraction form
    291,575.34/402,449.13 = 189,854.96/x
  3. Step 3: Cross multiply
    291,575.34x = 402,449.13 × 189,854.96
  4. Step 4: Simplify right side
    291,575.34x = 76,406,961,465.94
  5. Step 5: Solve for x
    x = 76,406,961,465.94/291,575.34
  6. Step 6: Final answer
    x = 262,048.78

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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.