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Finding the Fourth Proportional to 353,945.33, 488,430.75 and 216,354.61

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Solution

The fourth proportional to 353,945.33, 488,430.75 and 216,354.61 is: 298,560.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,945.33 : 488,430.75 = 216,354.61 : x
  2. Step 2: Convert to fraction form
    353,945.33/488,430.75 = 216,354.61/x
  3. Step 3: Cross multiply
    353,945.33x = 488,430.75 × 216,354.61
  4. Step 4: Simplify right side
    353,945.33x = 105,674,245,359.17
  5. Step 5: Solve for x
    x = 105,674,245,359.17/353,945.33
  6. Step 6: Final answer
    x = 298,560.92

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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.