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Finding the Fourth Proportional to 525,233.90, 787,620.45 and 209,585.90

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Solution

The fourth proportional to 525,233.90, 787,620.45 and 209,585.90 is: 314,286.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,233.90 : 787,620.45 = 209,585.90 : x
  2. Step 2: Convert to fraction form
    525,233.90/787,620.45 = 209,585.90/x
  3. Step 3: Cross multiply
    525,233.90x = 787,620.45 × 209,585.90
  4. Step 4: Simplify right side
    525,233.90x = 165,074,140,871.66
  5. Step 5: Solve for x
    x = 165,074,140,871.66/525,233.90
  6. Step 6: Final answer
    x = 314,286.91

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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.