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Finding the Fourth Proportional to 817,996,986.90, 1,226,995,480.35 and 635,254,766.10

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Solution

The fourth proportional to 817,996,986.90, 1,226,995,480.35 and 635,254,766.10 is: 952,882,149.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,996,986.90 : 1,226,995,480.35 = 635,254,766.10 : x
  2. Step 2: Convert to fraction form
    817,996,986.90/1,226,995,480.35 = 635,254,766.10/x
  3. Step 3: Cross multiply
    817,996,986.90x = 1,226,995,480.35 × 635,254,766.10
  4. Step 4: Simplify right side
    817,996,986.90x = 779,454,726,875,496,320
  5. Step 5: Solve for x
    x = 779,454,726,875,496,320/817,996,986.90
  6. Step 6: Final answer
    x = 952,882,149.15

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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.