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Finding the Fourth Proportional to 312,369, 468,566.46 and 90,753

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Solution

The fourth proportional to 312,369, 468,566.46 and 90,753 is: 136,133.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,369 : 468,566.46 = 90,753 : x
  2. Step 2: Convert to fraction form
    312,369/468,566.46 = 90,753/x
  3. Step 3: Cross multiply
    312,369x = 468,566.46 × 90,753
  4. Step 4: Simplify right side
    312,369x = 42,523,811,944.38
  5. Step 5: Solve for x
    x = 42,523,811,944.38/312,369
  6. Step 6: Final answer
    x = 136,133.27

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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.