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Finding the Fourth Proportional to 385,700.31, 578,702.75 and 119,481.58

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Solution

The fourth proportional to 385,700.31, 578,702.75 and 119,481.58 is: 179,269.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,700.31 : 578,702.75 = 119,481.58 : x
  2. Step 2: Convert to fraction form
    385,700.31/578,702.75 = 119,481.58/x
  3. Step 3: Cross multiply
    385,700.31x = 578,702.75 × 119,481.58
  4. Step 4: Simplify right side
    385,700.31x = 69,144,320,054.44
  5. Step 5: Solve for x
    x = 69,144,320,054.44/385,700.31
  6. Step 6: Final answer
    x = 179,269.55

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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.