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Finding the Fourth Proportional to 298,277.31, 411,465.78 and 177,332.57

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Solution

The fourth proportional to 298,277.31, 411,465.78 and 177,332.57 is: 244,625.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,277.31 : 411,465.78 = 177,332.57 : x
  2. Step 2: Convert to fraction form
    298,277.31/411,465.78 = 177,332.57/x
  3. Step 3: Cross multiply
    298,277.31x = 411,465.78 × 177,332.57
  4. Step 4: Simplify right side
    298,277.31x = 72,966,282,177.13
  5. Step 5: Solve for x
    x = 72,966,282,177.13/298,277.31
  6. Step 6: Final answer
    x = 244,625.65

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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.