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Finding the Fourth Proportional to 652,144.70, 978,217.05 and 402,967.10

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Solution

The fourth proportional to 652,144.70, 978,217.05 and 402,967.10 is: 604,450.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,144.70 : 978,217.05 = 402,967.10 : x
  2. Step 2: Convert to fraction form
    652,144.70/978,217.05 = 402,967.10/x
  3. Step 3: Cross multiply
    652,144.70x = 978,217.05 × 402,967.10
  4. Step 4: Simplify right side
    652,144.70x = 394,189,287,809.06
  5. Step 5: Solve for x
    x = 394,189,287,809.06/652,144.70
  6. Step 6: Final answer
    x = 604,450.65

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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.