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Finding the Fourth Proportional to 472,919.84, 653,340.20 and 309,963.05

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Solution

The fourth proportional to 472,919.84, 653,340.20 and 309,963.05 is: 428,214.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,919.84 : 653,340.20 = 309,963.05 : x
  2. Step 2: Convert to fraction form
    472,919.84/653,340.20 = 309,963.05/x
  3. Step 3: Cross multiply
    472,919.84x = 653,340.20 × 309,963.05
  4. Step 4: Simplify right side
    472,919.84x = 202,511,321,079.61
  5. Step 5: Solve for x
    x = 202,511,321,079.61/472,919.84
  6. Step 6: Final answer
    x = 428,214.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.