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Finding the Fourth Proportional to 431,958.39, 648,038.57 and 147,651.14

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Solution

The fourth proportional to 431,958.39, 648,038.57 and 147,651.14 is: 221,511.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,958.39 : 648,038.57 = 147,651.14 : x
  2. Step 2: Convert to fraction form
    431,958.39/648,038.57 = 147,651.14/x
  3. Step 3: Cross multiply
    431,958.39x = 648,038.57 × 147,651.14
  4. Step 4: Simplify right side
    431,958.39x = 95,683,629,646.02
  5. Step 5: Solve for x
    x = 95,683,629,646.02/431,958.39
  6. Step 6: Final answer
    x = 221,511.22

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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.