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Finding the Fourth Proportional to 350,471.20, 524,929.20 and 140,000.80

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Solution

The fourth proportional to 350,471.20, 524,929.20 and 140,000.80 is: 209,690.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,471.20 : 524,929.20 = 140,000.80 : x
  2. Step 2: Convert to fraction form
    350,471.20/524,929.20 = 140,000.80/x
  3. Step 3: Cross multiply
    350,471.20x = 524,929.20 × 140,000.80
  4. Step 4: Simplify right side
    350,471.20x = 73,490,507,943.36
  5. Step 5: Solve for x
    x = 73,490,507,943.36/350,471.20
  6. Step 6: Final answer
    x = 209,690.58

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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.