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Finding the Fourth Proportional to 524,898.60, 787,542.30 and 209,581.80

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Solution

The fourth proportional to 524,898.60, 787,542.30 and 209,581.80 is: 314,450.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,898.60 : 787,542.30 = 209,581.80 : x
  2. Step 2: Convert to fraction form
    524,898.60/787,542.30 = 209,581.80/x
  3. Step 3: Cross multiply
    524,898.60x = 787,542.30 × 209,581.80
  4. Step 4: Simplify right side
    524,898.60x = 165,054,532,810.14
  5. Step 5: Solve for x
    x = 165,054,532,810.14/524,898.60
  6. Step 6: Final answer
    x = 314,450.32

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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.