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Finding the Fourth Proportional to 652,228.20, 978,342.30 and 333,363.60

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Solution

The fourth proportional to 652,228.20, 978,342.30 and 333,363.60 is: 500,045.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,228.20 : 978,342.30 = 333,363.60 : x
  2. Step 2: Convert to fraction form
    652,228.20/978,342.30 = 333,363.60/x
  3. Step 3: Cross multiply
    652,228.20x = 978,342.30 × 333,363.60
  4. Step 4: Simplify right side
    652,228.20x = 326,143,711,160.28
  5. Step 5: Solve for x
    x = 326,143,711,160.28/652,228.20
  6. Step 6: Final answer
    x = 500,045.40

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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.