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Finding the Fourth Proportional to 525,115.80, 787,382.10 and 209,215.80

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Solution

The fourth proportional to 525,115.80, 787,382.10 and 209,215.80 is: 313,707.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,115.80 : 787,382.10 = 209,215.80 : x
  2. Step 2: Convert to fraction form
    525,115.80/787,382.10 = 209,215.80/x
  3. Step 3: Cross multiply
    525,115.80x = 787,382.10 × 209,215.80
  4. Step 4: Simplify right side
    525,115.80x = 164,732,775,957.18
  5. Step 5: Solve for x
    x = 164,732,775,957.18/525,115.80
  6. Step 6: Final answer
    x = 313,707.52

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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.