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Finding the Fourth Proportional to 285,543.16, 428,317.68 and 117,020.20

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Solution

The fourth proportional to 285,543.16, 428,317.68 and 117,020.20 is: 175,531.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,543.16 : 428,317.68 = 117,020.20 : x
  2. Step 2: Convert to fraction form
    285,543.16/428,317.68 = 117,020.20/x
  3. Step 3: Cross multiply
    285,543.16x = 428,317.68 × 117,020.20
  4. Step 4: Simplify right side
    285,543.16x = 50,121,820,577.14
  5. Step 5: Solve for x
    x = 50,121,820,577.14/285,543.16
  6. Step 6: Final answer
    x = 175,531.50

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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.