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Finding the Fourth Proportional to 278,552.58, 417,668.64 and 148,561.05

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Solution

The fourth proportional to 278,552.58, 417,668.64 and 148,561.05 is: 222,756.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,552.58 : 417,668.64 = 148,561.05 : x
  2. Step 2: Convert to fraction form
    278,552.58/417,668.64 = 148,561.05/x
  3. Step 3: Cross multiply
    278,552.58x = 417,668.64 × 148,561.05
  4. Step 4: Simplify right side
    278,552.58x = 62,049,291,710.47
  5. Step 5: Solve for x
    x = 62,049,291,710.47/278,552.58
  6. Step 6: Final answer
    x = 222,756.12

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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.