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Finding the Fourth Proportional to 538,916.34, 808,906.32 and 286,196.10

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Solution

The fourth proportional to 538,916.34, 808,906.32 and 286,196.10 is: 429,576.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,916.34 : 808,906.32 = 286,196.10 : x
  2. Step 2: Convert to fraction form
    538,916.34/808,906.32 = 286,196.10/x
  3. Step 3: Cross multiply
    538,916.34x = 808,906.32 × 286,196.10
  4. Step 4: Simplify right side
    538,916.34x = 231,505,834,049.35
  5. Step 5: Solve for x
    x = 231,505,834,049.35/538,916.34
  6. Step 6: Final answer
    x = 429,576.57

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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.