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Finding the Fourth Proportional to 1,438,398,877.92, 1,984,993,902 and 778,356,238.56

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Solution

The fourth proportional to 1,438,398,877.92, 1,984,993,902 and 778,356,238.56 is: 1,074,133,476.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438,398,877.92 : 1,984,993,902 = 778,356,238.56 : x
  2. Step 2: Convert to fraction form
    1,438,398,877.92/1,984,993,902 = 778,356,238.56/x
  3. Step 3: Cross multiply
    1,438,398,877.92x = 1,984,993,902 × 778,356,238.56
  4. Step 4: Simplify right side
    1,438,398,877.92x = 1,545,032,387,125,257,216
  5. Step 5: Solve for x
    x = 1,545,032,387,125,257,216/1,438,398,877.92
  6. Step 6: Final answer
    x = 1,074,133,476.35

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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.