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Finding the Fourth Proportional to 808,925,822.95, 1,117,088,607.05 and 764,856,109.03

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Solution

The fourth proportional to 808,925,822.95, 1,117,088,607.05 and 764,856,109.03 is: 1,056,230,399.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,925,822.95 : 1,117,088,607.05 = 764,856,109.03 : x
  2. Step 2: Convert to fraction form
    808,925,822.95/1,117,088,607.05 = 764,856,109.03/x
  3. Step 3: Cross multiply
    808,925,822.95x = 1,117,088,607.05 × 764,856,109.03
  4. Step 4: Simplify right side
    808,925,822.95x = 854,412,045,426,181,376
  5. Step 5: Solve for x
    x = 854,412,045,426,181,376/808,925,822.95
  6. Step 6: Final answer
    x = 1,056,230,399.85

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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.