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Finding the Fourth Proportional to 471,972.60, 651,319 and 257,112.80

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Solution

The fourth proportional to 471,972.60, 651,319 and 257,112.80 is: 354,813.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,972.60 : 651,319 = 257,112.80 : x
  2. Step 2: Convert to fraction form
    471,972.60/651,319 = 257,112.80/x
  3. Step 3: Cross multiply
    471,972.60x = 651,319 × 257,112.80
  4. Step 4: Simplify right side
    471,972.60x = 167,462,451,783.20
  5. Step 5: Solve for x
    x = 167,462,451,783.20/471,972.60
  6. Step 6: Final answer
    x = 354,813.93

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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.