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Finding the Fourth Proportional to 255,753.32, 383,616.34 and 78,260.45

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Solution

The fourth proportional to 255,753.32, 383,616.34 and 78,260.45 is: 117,386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,753.32 : 383,616.34 = 78,260.45 : x
  2. Step 2: Convert to fraction form
    255,753.32/383,616.34 = 78,260.45/x
  3. Step 3: Cross multiply
    255,753.32x = 383,616.34 × 78,260.45
  4. Step 4: Simplify right side
    255,753.32x = 30,021,985,282.02
  5. Step 5: Solve for x
    x = 30,021,985,282.02/255,753.32
  6. Step 6: Final answer
    x = 117,386.50

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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.