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Finding the Fourth Proportional to 652,138.35, 978,207.53 and 652,138.35

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Solution

The fourth proportional to 652,138.35, 978,207.53 and 652,138.35 is: 978,207.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,138.35 : 978,207.53 = 652,138.35 : x
  2. Step 2: Convert to fraction form
    652,138.35/978,207.53 = 652,138.35/x
  3. Step 3: Cross multiply
    652,138.35x = 978,207.53 × 652,138.35
  4. Step 4: Simplify right side
    652,138.35x = 637,926,641,311.08
  5. Step 5: Solve for x
    x = 637,926,641,311.08/652,138.35
  6. Step 6: Final answer
    x = 978,207.53

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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.