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Finding the Fourth Proportional to 417,148.42, 625,908.66 and 192,388

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Solution

The fourth proportional to 417,148.42, 625,908.66 and 192,388 is: 288,667.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,148.42 : 625,908.66 = 192,388 : x
  2. Step 2: Convert to fraction form
    417,148.42/625,908.66 = 192,388/x
  3. Step 3: Cross multiply
    417,148.42x = 625,908.66 × 192,388
  4. Step 4: Simplify right side
    417,148.42x = 120,417,315,280.08
  5. Step 5: Solve for x
    x = 120,417,315,280.08/417,148.42
  6. Step 6: Final answer
    x = 288,667.80

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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.