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Finding the Fourth Proportional to 278,142, 417,236.76 and 78,464.40

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Solution

The fourth proportional to 278,142, 417,236.76 and 78,464.40 is: 117,703.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,142 : 417,236.76 = 78,464.40 : x
  2. Step 2: Convert to fraction form
    278,142/417,236.76 = 78,464.40/x
  3. Step 3: Cross multiply
    278,142x = 417,236.76 × 78,464.40
  4. Step 4: Simplify right side
    278,142x = 32,738,232,031.34
  5. Step 5: Solve for x
    x = 32,738,232,031.34/278,142
  6. Step 6: Final answer
    x = 117,703.30

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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.