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Finding the Fourth Proportional to 278,045.90, 417,068.85 and 188,816.30

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Solution

The fourth proportional to 278,045.90, 417,068.85 and 188,816.30 is: 283,224.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,045.90 : 417,068.85 = 188,816.30 : x
  2. Step 2: Convert to fraction form
    278,045.90/417,068.85 = 188,816.30/x
  3. Step 3: Cross multiply
    278,045.90x = 417,068.85 × 188,816.30
  4. Step 4: Simplify right side
    278,045.90x = 78,749,397,102.26
  5. Step 5: Solve for x
    x = 78,749,397,102.26/278,045.90
  6. Step 6: Final answer
    x = 283,224.45

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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.