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Finding the Fourth Proportional to 385,977.84, 578,983 and 105,494.32

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Solution

The fourth proportional to 385,977.84, 578,983 and 105,494.32 is: 158,245.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,977.84 : 578,983 = 105,494.32 : x
  2. Step 2: Convert to fraction form
    385,977.84/578,983 = 105,494.32/x
  3. Step 3: Cross multiply
    385,977.84x = 578,983 × 105,494.32
  4. Step 4: Simplify right side
    385,977.84x = 61,079,417,876.56
  5. Step 5: Solve for x
    x = 61,079,417,876.56/385,977.84
  6. Step 6: Final answer
    x = 158,245.92

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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.