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Finding the Fourth Proportional to 295,805.80, 443,406.30 and 145,815.40

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Solution

The fourth proportional to 295,805.80, 443,406.30 and 145,815.40 is: 218,574.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,805.80 : 443,406.30 = 145,815.40 : x
  2. Step 2: Convert to fraction form
    295,805.80/443,406.30 = 145,815.40/x
  3. Step 3: Cross multiply
    295,805.80x = 443,406.30 × 145,815.40
  4. Step 4: Simplify right side
    295,805.80x = 64,655,466,997.02
  5. Step 5: Solve for x
    x = 64,655,466,997.02/295,805.80
  6. Step 6: Final answer
    x = 218,574.03

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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.