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Finding the Fourth Proportional to 485,049.40, 727,703.70 and 432,820.60

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Solution

The fourth proportional to 485,049.40, 727,703.70 and 432,820.60 is: 649,346.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,049.40 : 727,703.70 = 432,820.60 : x
  2. Step 2: Convert to fraction form
    485,049.40/727,703.70 = 432,820.60/x
  3. Step 3: Cross multiply
    485,049.40x = 727,703.70 × 432,820.60
  4. Step 4: Simplify right side
    485,049.40x = 314,965,152,056.22
  5. Step 5: Solve for x
    x = 314,965,152,056.22/485,049.40
  6. Step 6: Final answer
    x = 649,346.55

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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.