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Finding the Fourth Proportional to 1,398,199,974.75, 1,929,488,614.80 and 763,125,018.95

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Solution

The fourth proportional to 1,398,199,974.75, 1,929,488,614.80 and 763,125,018.95 is: 1,053,097,598.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398,199,974.75 : 1,929,488,614.80 = 763,125,018.95 : x
  2. Step 2: Convert to fraction form
    1,398,199,974.75/1,929,488,614.80 = 763,125,018.95/x
  3. Step 3: Cross multiply
    1,398,199,974.75x = 1,929,488,614.80 × 763,125,018.95
  4. Step 4: Simplify right side
    1,398,199,974.75x = 1,472,441,035,734,983,168
  5. Step 5: Solve for x
    x = 1,472,441,035,734,983,168/1,398,199,974.75
  6. Step 6: Final answer
    x = 1,053,097,598.57

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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.