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Finding the Fourth Proportional to 348,783, 523,179.42 and 99,465

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Solution

The fourth proportional to 348,783, 523,179.42 and 99,465 is: 149,198.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,783 : 523,179.42 = 99,465 : x
  2. Step 2: Convert to fraction form
    348,783/523,179.42 = 99,465/x
  3. Step 3: Cross multiply
    348,783x = 523,179.42 × 99,465
  4. Step 4: Simplify right side
    348,783x = 52,038,041,010.30
  5. Step 5: Solve for x
    x = 52,038,041,010.30/348,783
  6. Step 6: Final answer
    x = 149,198.90

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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.