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Finding the Fourth Proportional to 385,472.40, 578,263.68 and 119,255.64

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Solution

The fourth proportional to 385,472.40, 578,263.68 and 119,255.64 is: 178,900.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,472.40 : 578,263.68 = 119,255.64 : x
  2. Step 2: Convert to fraction form
    385,472.40/578,263.68 = 119,255.64/x
  3. Step 3: Cross multiply
    385,472.40x = 578,263.68 × 119,255.64
  4. Step 4: Simplify right side
    385,472.40x = 68,961,205,247.16
  5. Step 5: Solve for x
    x = 68,961,205,247.16/385,472.40
  6. Step 6: Final answer
    x = 178,900.50

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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.