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Finding the Fourth Proportional to 664,735.76, 997,354.88 and 260,217.03

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Solution

The fourth proportional to 664,735.76, 997,354.88 and 260,217.03 is: 390,423.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,735.76 : 997,354.88 = 260,217.03 : x
  2. Step 2: Convert to fraction form
    664,735.76/997,354.88 = 260,217.03/x
  3. Step 3: Cross multiply
    664,735.76x = 997,354.88 × 260,217.03
  4. Step 4: Simplify right side
    664,735.76x = 259,528,724,729.61
  5. Step 5: Solve for x
    x = 259,528,724,729.61/664,735.76
  6. Step 6: Final answer
    x = 390,423.90

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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.