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Finding the Fourth Proportional to 433,430.64, 649,984.28 and 149,040.74

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Solution

The fourth proportional to 433,430.64, 649,984.28 and 149,040.74 is: 223,505.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,430.64 : 649,984.28 = 149,040.74 : x
  2. Step 2: Convert to fraction form
    433,430.64/649,984.28 = 149,040.74/x
  3. Step 3: Cross multiply
    433,430.64x = 649,984.28 × 149,040.74
  4. Step 4: Simplify right side
    433,430.64x = 96,874,138,079.57
  5. Step 5: Solve for x
    x = 96,874,138,079.57/433,430.64
  6. Step 6: Final answer
    x = 223,505.51

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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.