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Finding the Fourth Proportional to 485,031.40, 727,676.70 and 432,802.60

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Solution

The fourth proportional to 485,031.40, 727,676.70 and 432,802.60 is: 649,319.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,031.40 : 727,676.70 = 432,802.60 : x
  2. Step 2: Convert to fraction form
    485,031.40/727,676.70 = 432,802.60/x
  3. Step 3: Cross multiply
    485,031.40x = 727,676.70 × 432,802.60
  4. Step 4: Simplify right side
    485,031.40x = 314,940,367,719.42
  5. Step 5: Solve for x
    x = 314,940,367,719.42/485,031.40
  6. Step 6: Final answer
    x = 649,319.54

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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.