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Finding the Fourth Proportional to 664,399.64, 996,006.90 and 243,577.40

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Solution

The fourth proportional to 664,399.64, 996,006.90 and 243,577.40 is: 365,148.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,399.64 : 996,006.90 = 243,577.40 : x
  2. Step 2: Convert to fraction form
    664,399.64/996,006.90 = 243,577.40/x
  3. Step 3: Cross multiply
    664,399.64x = 996,006.90 × 243,577.40
  4. Step 4: Simplify right side
    664,399.64x = 242,604,771,084.06
  5. Step 5: Solve for x
    x = 242,604,771,084.06/664,399.64
  6. Step 6: Final answer
    x = 365,148.86

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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.