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Finding the Fourth Proportional to 647,729.76, 970,293.45 and 322,538.16

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Solution

The fourth proportional to 647,729.76, 970,293.45 and 322,538.16 is: 483,159.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,729.76 : 970,293.45 = 322,538.16 : x
  2. Step 2: Convert to fraction form
    647,729.76/970,293.45 = 322,538.16/x
  3. Step 3: Cross multiply
    647,729.76x = 970,293.45 × 322,538.16
  4. Step 4: Simplify right side
    647,729.76x = 312,956,664,023.05
  5. Step 5: Solve for x
    x = 312,956,664,023.05/647,729.76
  6. Step 6: Final answer
    x = 483,159.31

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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.