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Finding the Fourth Proportional to 472,531.30, 707,630.55 and 313,900.90

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Solution

The fourth proportional to 472,531.30, 707,630.55 and 313,900.90 is: 470,076.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,531.30 : 707,630.55 = 313,900.90 : x
  2. Step 2: Convert to fraction form
    472,531.30/707,630.55 = 313,900.90/x
  3. Step 3: Cross multiply
    472,531.30x = 707,630.55 × 313,900.90
  4. Step 4: Simplify right side
    472,531.30x = 222,125,866,512.50
  5. Step 5: Solve for x
    x = 222,125,866,512.50/472,531.30
  6. Step 6: Final answer
    x = 470,076.51

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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.