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Finding the Fourth Proportional to 652,138.40, 978,207.60 and 494,674.40

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Solution

The fourth proportional to 652,138.40, 978,207.60 and 494,674.40 is: 742,011.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,138.40 : 978,207.60 = 494,674.40 : x
  2. Step 2: Convert to fraction form
    652,138.40/978,207.60 = 494,674.40/x
  3. Step 3: Cross multiply
    652,138.40x = 978,207.60 × 494,674.40
  4. Step 4: Simplify right side
    652,138.40x = 483,894,257,605.44
  5. Step 5: Solve for x
    x = 483,894,257,605.44/652,138.40
  6. Step 6: Final answer
    x = 742,011.60

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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.