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Finding the Fourth Proportional to 417,029, 625,658.70 and 121,541

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Solution

The fourth proportional to 417,029, 625,658.70 and 121,541 is: 182,345.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,029 : 625,658.70 = 121,541 : x
  2. Step 2: Convert to fraction form
    417,029/625,658.70 = 121,541/x
  3. Step 3: Cross multiply
    417,029x = 625,658.70 × 121,541
  4. Step 4: Simplify right side
    417,029x = 76,043,184,056.70
  5. Step 5: Solve for x
    x = 76,043,184,056.70/417,029
  6. Step 6: Final answer
    x = 182,345.07

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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.