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Finding the Fourth Proportional to 417,186.80, 625,634.40 and 217,440.80

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Solution

The fourth proportional to 417,186.80, 625,634.40 and 217,440.80 is: 326,085.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,186.80 : 625,634.40 = 217,440.80 : x
  2. Step 2: Convert to fraction form
    417,186.80/625,634.40 = 217,440.80/x
  3. Step 3: Cross multiply
    417,186.80x = 625,634.40 × 217,440.80
  4. Step 4: Simplify right side
    417,186.80x = 136,038,444,443.52
  5. Step 5: Solve for x
    x = 136,038,444,443.52/417,186.80
  6. Step 6: Final answer
    x = 326,085.21

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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.