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Finding the Fourth Proportional to 472,811.32, 652,478.88 and 257,951.31

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Solution

The fourth proportional to 472,811.32, 652,478.88 and 257,951.31 is: 355,972.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,811.32 : 652,478.88 = 257,951.31 : x
  2. Step 2: Convert to fraction form
    472,811.32/652,478.88 = 257,951.31/x
  3. Step 3: Cross multiply
    472,811.32x = 652,478.88 × 257,951.31
  4. Step 4: Simplify right side
    472,811.32x = 168,307,781,843.33
  5. Step 5: Solve for x
    x = 168,307,781,843.33/472,811.32
  6. Step 6: Final answer
    x = 355,972.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.