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Finding the Fourth Proportional to 368,687.25, 508,782.30 and 207,541.80

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Solution

The fourth proportional to 368,687.25, 508,782.30 and 207,541.80 is: 286,404.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,687.25 : 508,782.30 = 207,541.80 : x
  2. Step 2: Convert to fraction form
    368,687.25/508,782.30 = 207,541.80/x
  3. Step 3: Cross multiply
    368,687.25x = 508,782.30 × 207,541.80
  4. Step 4: Simplify right side
    368,687.25x = 105,593,594,350.14
  5. Step 5: Solve for x
    x = 105,593,594,350.14/368,687.25
  6. Step 6: Final answer
    x = 286,404.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.