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Finding the Fourth Proportional to 678,103.84, 935,773.44 and 387,712.48

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Solution

The fourth proportional to 678,103.84, 935,773.44 and 387,712.48 is: 535,037.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,103.84 : 935,773.44 = 387,712.48 : x
  2. Step 2: Convert to fraction form
    678,103.84/935,773.44 = 387,712.48/x
  3. Step 3: Cross multiply
    678,103.84x = 935,773.44 × 387,712.48
  4. Step 4: Simplify right side
    678,103.84x = 362,811,041,140.53
  5. Step 5: Solve for x
    x = 362,811,041,140.53/678,103.84
  6. Step 6: Final answer
    x = 535,037.59

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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.