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Finding the Fourth Proportional to 538,915.34, 808,904.82 and 286,195.10

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Solution

The fourth proportional to 538,915.34, 808,904.82 and 286,195.10 is: 429,575.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,915.34 : 808,904.82 = 286,195.10 : x
  2. Step 2: Convert to fraction form
    538,915.34/808,904.82 = 286,195.10/x
  3. Step 3: Cross multiply
    538,915.34x = 808,904.82 × 286,195.10
  4. Step 4: Simplify right side
    538,915.34x = 231,504,595,850.38
  5. Step 5: Solve for x
    x = 231,504,595,850.38/538,915.34
  6. Step 6: Final answer
    x = 429,575.07

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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.