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Finding the Fourth Proportional to 385,440.58, 578,234.70 and 119,154.19

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Solution

The fourth proportional to 385,440.58, 578,234.70 and 119,154.19 is: 178,754.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,440.58 : 578,234.70 = 119,154.19 : x
  2. Step 2: Convert to fraction form
    385,440.58/578,234.70 = 119,154.19/x
  3. Step 3: Cross multiply
    385,440.58x = 578,234.70 × 119,154.19
  4. Step 4: Simplify right side
    385,440.58x = 68,899,086,947.00
  5. Step 5: Solve for x
    x = 68,899,086,947.00/385,440.58
  6. Step 6: Final answer
    x = 178,754.11

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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.