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Finding the Fourth Proportional to 485,645.40, 729,124.20 and 308,498.40

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Solution

The fourth proportional to 485,645.40, 729,124.20 and 308,498.40 is: 463,164.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,645.40 : 729,124.20 = 308,498.40 : x
  2. Step 2: Convert to fraction form
    485,645.40/729,124.20 = 308,498.40/x
  3. Step 3: Cross multiply
    485,645.40x = 729,124.20 × 308,498.40
  4. Step 4: Simplify right side
    485,645.40x = 224,933,649,101.28
  5. Step 5: Solve for x
    x = 224,933,649,101.28/485,645.40
  6. Step 6: Final answer
    x = 463,164.38

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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.