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Finding the Fourth Proportional to 652,529.90, 978,794.85 and 424,207.10

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Solution

The fourth proportional to 652,529.90, 978,794.85 and 424,207.10 is: 636,310.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,529.90 : 978,794.85 = 424,207.10 : x
  2. Step 2: Convert to fraction form
    652,529.90/978,794.85 = 424,207.10/x
  3. Step 3: Cross multiply
    652,529.90x = 978,794.85 × 424,207.10
  4. Step 4: Simplify right side
    652,529.90x = 415,211,724,813.44
  5. Step 5: Solve for x
    x = 415,211,724,813.44/652,529.90
  6. Step 6: Final answer
    x = 636,310.65

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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.