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Finding the Fourth Proportional to 286,506.86, 429,554.44 and 134,618.29

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Solution

The fourth proportional to 286,506.86, 429,554.44 and 134,618.29 is: 201,830.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,506.86 : 429,554.44 = 134,618.29 : x
  2. Step 2: Convert to fraction form
    286,506.86/429,554.44 = 134,618.29/x
  3. Step 3: Cross multiply
    286,506.86x = 429,554.44 × 134,618.29
  4. Step 4: Simplify right side
    286,506.86x = 57,825,884,174.71
  5. Step 5: Solve for x
    x = 57,825,884,174.71/286,506.86
  6. Step 6: Final answer
    x = 201,830.71

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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.