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Finding the Fourth Proportional to 421,669.64, 632,753.94 and 155,615.42

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Solution

The fourth proportional to 421,669.64, 632,753.94 and 155,615.42 is: 233,515.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,669.64 : 632,753.94 = 155,615.42 : x
  2. Step 2: Convert to fraction form
    421,669.64/632,753.94 = 155,615.42/x
  3. Step 3: Cross multiply
    421,669.64x = 632,753.94 × 155,615.42
  4. Step 4: Simplify right side
    421,669.64x = 98,466,270,129.75
  5. Step 5: Solve for x
    x = 98,466,270,129.75/421,669.64
  6. Step 6: Final answer
    x = 233,515.20

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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.