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Finding the Fourth Proportional to 360,817.84, 497,921.10 and 199,663.30

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Solution

The fourth proportional to 360,817.84, 497,921.10 and 199,663.30 is: 275,531.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,817.84 : 497,921.10 = 199,663.30 : x
  2. Step 2: Convert to fraction form
    360,817.84/497,921.10 = 199,663.30/x
  3. Step 3: Cross multiply
    360,817.84x = 497,921.10 × 199,663.30
  4. Step 4: Simplify right side
    360,817.84x = 99,416,569,965.63
  5. Step 5: Solve for x
    x = 99,416,569,965.63/360,817.84
  6. Step 6: Final answer
    x = 275,531.19

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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.