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Finding the Fourth Proportional to 278,117.70, 417,176.55 and 188,304.90

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Solution

The fourth proportional to 278,117.70, 417,176.55 and 188,304.90 is: 282,457.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,117.70 : 417,176.55 = 188,304.90 : x
  2. Step 2: Convert to fraction form
    278,117.70/417,176.55 = 188,304.90/x
  3. Step 3: Cross multiply
    278,117.70x = 417,176.55 × 188,304.90
  4. Step 4: Simplify right side
    278,117.70x = 78,556,388,530.10
  5. Step 5: Solve for x
    x = 78,556,388,530.10/278,117.70
  6. Step 6: Final answer
    x = 282,457.35

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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.