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Finding the Fourth Proportional to 471,980.52, 651,327.15 and 257,115.96

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Solution

The fourth proportional to 471,980.52, 651,327.15 and 257,115.96 is: 354,816.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,980.52 : 651,327.15 = 257,115.96 : x
  2. Step 2: Convert to fraction form
    471,980.52/651,327.15 = 257,115.96/x
  3. Step 3: Cross multiply
    471,980.52x = 651,327.15 × 257,115.96
  4. Step 4: Simplify right side
    471,980.52x = 167,466,605,446.31
  5. Step 5: Solve for x
    x = 167,466,605,446.31/471,980.52
  6. Step 6: Final answer
    x = 354,816.77

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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.