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Finding the Fourth Proportional to 652,217.60, 978,326.40 and 231,438.80

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Solution

The fourth proportional to 652,217.60, 978,326.40 and 231,438.80 is: 347,158.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,217.60 : 978,326.40 = 231,438.80 : x
  2. Step 2: Convert to fraction form
    652,217.60/978,326.40 = 231,438.80/x
  3. Step 3: Cross multiply
    652,217.60x = 978,326.40 × 231,438.80
  4. Step 4: Simplify right side
    652,217.60x = 226,422,688,024.32
  5. Step 5: Solve for x
    x = 226,422,688,024.32/652,217.60
  6. Step 6: Final answer
    x = 347,158.20

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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.