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Finding the Fourth Proportional to 417,086.08, 625,678.34 and 312,569.35

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Solution

The fourth proportional to 417,086.08, 625,678.34 and 312,569.35 is: 468,890.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,086.08 : 625,678.34 = 312,569.35 : x
  2. Step 2: Convert to fraction form
    417,086.08/625,678.34 = 312,569.35/x
  3. Step 3: Cross multiply
    417,086.08x = 625,678.34 × 312,569.35
  4. Step 4: Simplify right side
    417,086.08x = 195,567,868,915.84
  5. Step 5: Solve for x
    x = 195,567,868,915.84/417,086.08
  6. Step 6: Final answer
    x = 468,890.91

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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.