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Finding the Fourth Proportional to 231,407.45, 319,358.63 and 129,442.45

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Solution

The fourth proportional to 231,407.45, 319,358.63 and 129,442.45 is: 178,639.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,407.45 : 319,358.63 = 129,442.45 : x
  2. Step 2: Convert to fraction form
    231,407.45/319,358.63 = 129,442.45/x
  3. Step 3: Cross multiply
    231,407.45x = 319,358.63 × 129,442.45
  4. Step 4: Simplify right side
    231,407.45x = 41,338,562,050.23
  5. Step 5: Solve for x
    x = 41,338,562,050.23/231,407.45
  6. Step 6: Final answer
    x = 178,639.72

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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.