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Finding the Fourth Proportional to 778,572,006.10, 1,167,858,009.15 and 744,134,629.30

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Solution

The fourth proportional to 778,572,006.10, 1,167,858,009.15 and 744,134,629.30 is: 1,116,201,943.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,572,006.10 : 1,167,858,009.15 = 744,134,629.30 : x
  2. Step 2: Convert to fraction form
    778,572,006.10/1,167,858,009.15 = 744,134,629.30/x
  3. Step 3: Cross multiply
    778,572,006.10x = 1,167,858,009.15 × 744,134,629.30
  4. Step 4: Simplify right side
    778,572,006.10x = 869,043,586,713,871,232
  5. Step 5: Solve for x
    x = 869,043,586,713,871,232/778,572,006.10
  6. Step 6: Final answer
    x = 1,116,201,943.95

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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.