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Finding the Fourth Proportional to 501,258.34, 691,773.09 and 286,393.78

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Solution

The fourth proportional to 501,258.34, 691,773.09 and 286,393.78 is: 395,244.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,258.34 : 691,773.09 = 286,393.78 : x
  2. Step 2: Convert to fraction form
    501,258.34/691,773.09 = 286,393.78/x
  3. Step 3: Cross multiply
    501,258.34x = 691,773.09 × 286,393.78
  4. Step 4: Simplify right side
    501,258.34x = 198,119,510,147.38
  5. Step 5: Solve for x
    x = 198,119,510,147.38/501,258.34
  6. Step 6: Final answer
    x = 395,244.32

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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.