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Finding the Fourth Proportional to 278,291.65, 416,881 and 128,326.63

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Solution

The fourth proportional to 278,291.65, 416,881 and 128,326.63 is: 192,233.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,291.65 : 416,881 = 128,326.63 : x
  2. Step 2: Convert to fraction form
    278,291.65/416,881 = 128,326.63/x
  3. Step 3: Cross multiply
    278,291.65x = 416,881 × 128,326.63
  4. Step 4: Simplify right side
    278,291.65x = 53,496,933,841.03
  5. Step 5: Solve for x
    x = 53,496,933,841.03/278,291.65
  6. Step 6: Final answer
    x = 192,233.34

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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.