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Finding the Fourth Proportional to 421,803.35, 632,765.17 and 155,543.24

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Solution

The fourth proportional to 421,803.35, 632,765.17 and 155,543.24 is: 233,337.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,803.35 : 632,765.17 = 155,543.24 : x
  2. Step 2: Convert to fraction form
    421,803.35/632,765.17 = 155,543.24/x
  3. Step 3: Cross multiply
    421,803.35x = 632,765.17 × 155,543.24
  4. Step 4: Simplify right side
    421,803.35x = 98,422,342,043.06
  5. Step 5: Solve for x
    x = 98,422,342,043.06/421,803.35
  6. Step 6: Final answer
    x = 233,337.03

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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.