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Finding the Fourth Proportional to 1,440,750,964.08, 1,988,016,459.48 and 813,990,706.32

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Solution

The fourth proportional to 1,440,750,964.08, 1,988,016,459.48 and 813,990,706.32 is: 1,123,182,952.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440,750,964.08 : 1,988,016,459.48 = 813,990,706.32 : x
  2. Step 2: Convert to fraction form
    1,440,750,964.08/1,988,016,459.48 = 813,990,706.32/x
  3. Step 3: Cross multiply
    1,440,750,964.08x = 1,988,016,459.48 × 813,990,706.32
  4. Step 4: Simplify right side
    1,440,750,964.08x = 1,618,226,922,027,910,912
  5. Step 5: Solve for x
    x = 1,618,226,922,027,910,912/1,440,750,964.08
  6. Step 6: Final answer
    x = 1,123,182,952.76

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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.