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Finding the Fourth Proportional to 338,364, 507,580.29 and 125,188.20

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Solution

The fourth proportional to 338,364, 507,580.29 and 125,188.20 is: 187,794.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,364 : 507,580.29 = 125,188.20 : x
  2. Step 2: Convert to fraction form
    338,364/507,580.29 = 125,188.20/x
  3. Step 3: Cross multiply
    338,364x = 507,580.29 × 125,188.20
  4. Step 4: Simplify right side
    338,364x = 63,543,062,860.58
  5. Step 5: Solve for x
    x = 63,543,062,860.58/338,364
  6. Step 6: Final answer
    x = 187,794.99

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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.