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Finding the Fourth Proportional to 360,982.71, 497,999.73 and 217,663.14

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Solution

The fourth proportional to 360,982.71, 497,999.73 and 217,663.14 is: 300,280.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,982.71 : 497,999.73 = 217,663.14 : x
  2. Step 2: Convert to fraction form
    360,982.71/497,999.73 = 217,663.14/x
  3. Step 3: Cross multiply
    360,982.71x = 497,999.73 × 217,663.14
  4. Step 4: Simplify right side
    360,982.71x = 108,396,184,950.95
  5. Step 5: Solve for x
    x = 108,396,184,950.95/360,982.71
  6. Step 6: Final answer
    x = 300,280.82

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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.