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Finding the Fourth Proportional to 295,865.80, 443,798.70 and 146,129.20

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Solution

The fourth proportional to 295,865.80, 443,798.70 and 146,129.20 is: 219,193.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,865.80 : 443,798.70 = 146,129.20 : x
  2. Step 2: Convert to fraction form
    295,865.80/443,798.70 = 146,129.20/x
  3. Step 3: Cross multiply
    295,865.80x = 443,798.70 × 146,129.20
  4. Step 4: Simplify right side
    295,865.80x = 64,851,948,992.04
  5. Step 5: Solve for x
    x = 64,851,948,992.04/295,865.80
  6. Step 6: Final answer
    x = 219,193.80

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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.