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Finding the Fourth Proportional to 439,924, 607,096.74 and 238,720

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Solution

The fourth proportional to 439,924, 607,096.74 and 238,720 is: 329,434.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,924 : 607,096.74 = 238,720 : x
  2. Step 2: Convert to fraction form
    439,924/607,096.74 = 238,720/x
  3. Step 3: Cross multiply
    439,924x = 607,096.74 × 238,720
  4. Step 4: Simplify right side
    439,924x = 144,926,133,772.80
  5. Step 5: Solve for x
    x = 144,926,133,772.80/439,924
  6. Step 6: Final answer
    x = 329,434.48

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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.