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Finding the Fourth Proportional to 352,359.20, 528,695.40 and 142,407.20

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Solution

The fourth proportional to 352,359.20, 528,695.40 and 142,407.20 is: 213,674.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,359.20 : 528,695.40 = 142,407.20 : x
  2. Step 2: Convert to fraction form
    352,359.20/528,695.40 = 142,407.20/x
  3. Step 3: Cross multiply
    352,359.20x = 528,695.40 × 142,407.20
  4. Step 4: Simplify right side
    352,359.20x = 75,290,031,566.88
  5. Step 5: Solve for x
    x = 75,290,031,566.88/352,359.20
  6. Step 6: Final answer
    x = 213,674.09

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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.