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Finding the Fourth Proportional to 652,887.70, 978,019.35 and 440,311.30

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Solution

The fourth proportional to 652,887.70, 978,019.35 and 440,311.30 is: 659,581.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,887.70 : 978,019.35 = 440,311.30 : x
  2. Step 2: Convert to fraction form
    652,887.70/978,019.35 = 440,311.30/x
  3. Step 3: Cross multiply
    652,887.70x = 978,019.35 × 440,311.30
  4. Step 4: Simplify right side
    652,887.70x = 430,632,971,423.66
  5. Step 5: Solve for x
    x = 430,632,971,423.66/652,887.70
  6. Step 6: Final answer
    x = 659,581.99

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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.