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Finding the Fourth Proportional to 490,411.40, 676,821.30 and 299,424.20

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Solution

The fourth proportional to 490,411.40, 676,821.30 and 299,424.20 is: 413,238.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,411.40 : 676,821.30 = 299,424.20 : x
  2. Step 2: Convert to fraction form
    490,411.40/676,821.30 = 299,424.20/x
  3. Step 3: Cross multiply
    490,411.40x = 676,821.30 × 299,424.20
  4. Step 4: Simplify right side
    490,411.40x = 202,656,676,295.46
  5. Step 5: Solve for x
    x = 202,656,676,295.46/490,411.40
  6. Step 6: Final answer
    x = 413,238.10

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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.