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Finding the Fourth Proportional to 230,241.23, 317,648.62 and 139,531.76

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Solution

The fourth proportional to 230,241.23, 317,648.62 and 139,531.76 is: 192,502.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,241.23 : 317,648.62 = 139,531.76 : x
  2. Step 2: Convert to fraction form
    230,241.23/317,648.62 = 139,531.76/x
  3. Step 3: Cross multiply
    230,241.23x = 317,648.62 × 139,531.76
  4. Step 4: Simplify right side
    230,241.23x = 44,322,071,010.17
  5. Step 5: Solve for x
    x = 44,322,071,010.17/230,241.23
  6. Step 6: Final answer
    x = 192,502.75

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1.5x scale

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.