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Finding the Fourth Proportional to 278,059.32, 417,113.58 and 78,381.48

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Solution

The fourth proportional to 278,059.32, 417,113.58 and 78,381.48 is: 117,579.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,059.32 : 417,113.58 = 78,381.48 : x
  2. Step 2: Convert to fraction form
    278,059.32/417,113.58 = 78,381.48/x
  3. Step 3: Cross multiply
    278,059.32x = 417,113.58 × 78,381.48
  4. Step 4: Simplify right side
    278,059.32x = 32,693,979,728.50
  5. Step 5: Solve for x
    x = 32,693,979,728.50/278,059.32
  6. Step 6: Final answer
    x = 117,579.15

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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.