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Finding the Fourth Proportional to 524,756.70, 787,523.85 and 209,439.90

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Solution

The fourth proportional to 524,756.70, 787,523.85 and 209,439.90 is: 314,315.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,756.70 : 787,523.85 = 209,439.90 : x
  2. Step 2: Convert to fraction form
    524,756.70/787,523.85 = 209,439.90/x
  3. Step 3: Cross multiply
    524,756.70x = 787,523.85 × 209,439.90
  4. Step 4: Simplify right side
    524,756.70x = 164,938,916,391.62
  5. Step 5: Solve for x
    x = 164,938,916,391.62/524,756.70
  6. Step 6: Final answer
    x = 314,315.03

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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.