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Finding the Fourth Proportional to 278,507.34, 417,763.29 and 78,834.30

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Solution

The fourth proportional to 278,507.34, 417,763.29 and 78,834.30 is: 118,252.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,507.34 : 417,763.29 = 78,834.30 : x
  2. Step 2: Convert to fraction form
    278,507.34/417,763.29 = 78,834.30/x
  3. Step 3: Cross multiply
    278,507.34x = 417,763.29 × 78,834.30
  4. Step 4: Simplify right side
    278,507.34x = 32,934,076,532.85
  5. Step 5: Solve for x
    x = 32,934,076,532.85/278,507.34
  6. Step 6: Final answer
    x = 118,252.10

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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.