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Finding the Fourth Proportional to 353,210.57, 488,714.14 and 307,982.80

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Solution

The fourth proportional to 353,210.57, 488,714.14 and 307,982.80 is: 426,135.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,210.57 : 488,714.14 = 307,982.80 : x
  2. Step 2: Convert to fraction form
    353,210.57/488,714.14 = 307,982.80/x
  3. Step 3: Cross multiply
    353,210.57x = 488,714.14 × 307,982.80
  4. Step 4: Simplify right side
    353,210.57x = 150,515,549,236.79
  5. Step 5: Solve for x
    x = 150,515,549,236.79/353,210.57
  6. Step 6: Final answer
    x = 426,135.46

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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.