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Finding the Fourth Proportional to 652,141.80, 978,212.70 and 400,199.40

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Solution

The fourth proportional to 652,141.80, 978,212.70 and 400,199.40 is: 600,299.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,141.80 : 978,212.70 = 400,199.40 : x
  2. Step 2: Convert to fraction form
    652,141.80/978,212.70 = 400,199.40/x
  3. Step 3: Cross multiply
    652,141.80x = 978,212.70 × 400,199.40
  4. Step 4: Simplify right side
    652,141.80x = 391,480,135,612.38
  5. Step 5: Solve for x
    x = 391,480,135,612.38/652,141.80
  6. Step 6: Final answer
    x = 600,299.10

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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.