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Finding the Fourth Proportional to 652,008.20, 978,012.30 and 333,143.60

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Solution

The fourth proportional to 652,008.20, 978,012.30 and 333,143.60 is: 499,715.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,008.20 : 978,012.30 = 333,143.60 : x
  2. Step 2: Convert to fraction form
    652,008.20/978,012.30 = 333,143.60/x
  3. Step 3: Cross multiply
    652,008.20x = 978,012.30 × 333,143.60
  4. Step 4: Simplify right side
    652,008.20x = 325,818,538,466.28
  5. Step 5: Solve for x
    x = 325,818,538,466.28/652,008.20
  6. Step 6: Final answer
    x = 499,715.40

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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.