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Finding the Fourth Proportional to 303,134.18, 454,702.78 and 78,478.86

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Solution

The fourth proportional to 303,134.18, 454,702.78 and 78,478.86 is: 117,718.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,134.18 : 454,702.78 = 78,478.86 : x
  2. Step 2: Convert to fraction form
    303,134.18/454,702.78 = 78,478.86/x
  3. Step 3: Cross multiply
    303,134.18x = 454,702.78 × 78,478.86
  4. Step 4: Simplify right side
    303,134.18x = 35,684,555,813.23
  5. Step 5: Solve for x
    x = 35,684,555,813.23/303,134.18
  6. Step 6: Final answer
    x = 117,718.68

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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.