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Finding the Fourth Proportional to 309,854.60, 427,501.86 and 173,868.56

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Solution

The fourth proportional to 309,854.60, 427,501.86 and 173,868.56 is: 239,883.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,854.60 : 427,501.86 = 173,868.56 : x
  2. Step 2: Convert to fraction form
    309,854.60/427,501.86 = 173,868.56/x
  3. Step 3: Cross multiply
    309,854.60x = 427,501.86 × 173,868.56
  4. Step 4: Simplify right side
    309,854.60x = 74,329,132,795.52
  5. Step 5: Solve for x
    x = 74,329,132,795.52/309,854.60
  6. Step 6: Final answer
    x = 239,883.91

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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.