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Finding the Fourth Proportional to 303,970.13, 455,955.20 and 82,354.13

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Solution

The fourth proportional to 303,970.13, 455,955.20 and 82,354.13 is: 123,531.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,970.13 : 455,955.20 = 82,354.13 : x
  2. Step 2: Convert to fraction form
    303,970.13/455,955.20 = 82,354.13/x
  3. Step 3: Cross multiply
    303,970.13x = 455,955.20 × 82,354.13
  4. Step 4: Simplify right side
    303,970.13x = 37,549,791,123.43
  5. Step 5: Solve for x
    x = 37,549,791,123.43/303,970.13
  6. Step 6: Final answer
    x = 123,531.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.