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Finding the Fourth Proportional to 286,832, 430,248 and 136,616.96

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Solution

The fourth proportional to 286,832, 430,248 and 136,616.96 is: 204,925.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,832 : 430,248 = 136,616.96 : x
  2. Step 2: Convert to fraction form
    286,832/430,248 = 136,616.96/x
  3. Step 3: Cross multiply
    286,832x = 430,248 × 136,616.96
  4. Step 4: Simplify right side
    286,832x = 58,779,173,806.08
  5. Step 5: Solve for x
    x = 58,779,173,806.08/286,832
  6. Step 6: Final answer
    x = 204,925.44

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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.