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Finding the Fourth Proportional to 300,095.10, 450,142.65 and 265,977.90

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Solution

The fourth proportional to 300,095.10, 450,142.65 and 265,977.90 is: 398,966.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,095.10 : 450,142.65 = 265,977.90 : x
  2. Step 2: Convert to fraction form
    300,095.10/450,142.65 = 265,977.90/x
  3. Step 3: Cross multiply
    300,095.10x = 450,142.65 × 265,977.90
  4. Step 4: Simplify right side
    300,095.10x = 119,727,996,747.44
  5. Step 5: Solve for x
    x = 119,727,996,747.44/300,095.10
  6. Step 6: Final answer
    x = 398,966.85

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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.