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Finding the Fourth Proportional to 286,196.84, 429,120.22 and 136,482.92

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Solution

The fourth proportional to 286,196.84, 429,120.22 and 136,482.92 is: 204,640.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,196.84 : 429,120.22 = 136,482.92 : x
  2. Step 2: Convert to fraction form
    286,196.84/429,120.22 = 136,482.92/x
  3. Step 3: Cross multiply
    286,196.84x = 429,120.22 × 136,482.92
  4. Step 4: Simplify right side
    286,196.84x = 58,567,580,656.64
  5. Step 5: Solve for x
    x = 58,567,580,656.64/286,196.84
  6. Step 6: Final answer
    x = 204,640.91

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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.