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Finding the Fourth Proportional to 652,276.40, 978,309.72 and 178,851.92

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Solution

The fourth proportional to 652,276.40, 978,309.72 and 178,851.92 is: 268,249.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,276.40 : 978,309.72 = 178,851.92 : x
  2. Step 2: Convert to fraction form
    652,276.40/978,309.72 = 178,851.92/x
  3. Step 3: Cross multiply
    652,276.40x = 978,309.72 × 178,851.92
  4. Step 4: Simplify right side
    652,276.40x = 174,972,571,776.66
  5. Step 5: Solve for x
    x = 174,972,571,776.66/652,276.40
  6. Step 6: Final answer
    x = 268,249.12

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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.