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Finding the Fourth Proportional to 385,840.80, 578,761.20 and 119,599.20

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Solution

The fourth proportional to 385,840.80, 578,761.20 and 119,599.20 is: 179,398.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,840.80 : 578,761.20 = 119,599.20 : x
  2. Step 2: Convert to fraction form
    385,840.80/578,761.20 = 119,599.20/x
  3. Step 3: Cross multiply
    385,840.80x = 578,761.20 × 119,599.20
  4. Step 4: Simplify right side
    385,840.80x = 69,219,376,511.04
  5. Step 5: Solve for x
    x = 69,219,376,511.04/385,840.80
  6. Step 6: Final answer
    x = 179,398.80

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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.