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Finding the Fourth Proportional to 648,367.30, 971,311.65 and 348,748.30

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Solution

The fourth proportional to 648,367.30, 971,311.65 and 348,748.30 is: 522,455.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,367.30 : 971,311.65 = 348,748.30 : x
  2. Step 2: Convert to fraction form
    648,367.30/971,311.65 = 348,748.30/x
  3. Step 3: Cross multiply
    648,367.30x = 971,311.65 × 348,748.30
  4. Step 4: Simplify right side
    648,367.30x = 338,743,286,707.70
  5. Step 5: Solve for x
    x = 338,743,286,707.70/648,367.30
  6. Step 6: Final answer
    x = 522,455.85

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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.