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Finding the Fourth Proportional to 278,314.50, 417,499.10 and 78,636.45

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Solution

The fourth proportional to 278,314.50, 417,499.10 and 78,636.45 is: 117,962.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,314.50 : 417,499.10 = 78,636.45 : x
  2. Step 2: Convert to fraction form
    278,314.50/417,499.10 = 78,636.45/x
  3. Step 3: Cross multiply
    278,314.50x = 417,499.10 × 78,636.45
  4. Step 4: Simplify right side
    278,314.50x = 32,830,647,102.20
  5. Step 5: Solve for x
    x = 32,830,647,102.20/278,314.50
  6. Step 6: Final answer
    x = 117,962.40

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1.5x scale

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.