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Finding the Fourth Proportional to 450,079.20, 674,341.20 and 380,095.20

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Solution

The fourth proportional to 450,079.20, 674,341.20 and 380,095.20 is: 569,486.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,079.20 : 674,341.20 = 380,095.20 : x
  2. Step 2: Convert to fraction form
    450,079.20/674,341.20 = 380,095.20/x
  3. Step 3: Cross multiply
    450,079.20x = 674,341.20 × 380,095.20
  4. Step 4: Simplify right side
    450,079.20x = 256,313,853,282.24
  5. Step 5: Solve for x
    x = 256,313,853,282.24/450,079.20
  6. Step 6: Final answer
    x = 569,486.11

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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.