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Finding the Fourth Proportional to 384,023.60, 575,257.80 and 217,617.20

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Solution

The fourth proportional to 384,023.60, 575,257.80 and 217,617.20 is: 325,985.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,023.60 : 575,257.80 = 217,617.20 : x
  2. Step 2: Convert to fraction form
    384,023.60/575,257.80 = 217,617.20/x
  3. Step 3: Cross multiply
    384,023.60x = 575,257.80 × 217,617.20
  4. Step 4: Simplify right side
    384,023.60x = 125,185,991,714.16
  5. Step 5: Solve for x
    x = 125,185,991,714.16/384,023.60
  6. Step 6: Final answer
    x = 325,985.15

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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.