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Finding the Fourth Proportional to 286,246, 429,369.18 and 89,254

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Solution

The fourth proportional to 286,246, 429,369.18 and 89,254 is: 133,881.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,246 : 429,369.18 = 89,254 : x
  2. Step 2: Convert to fraction form
    286,246/429,369.18 = 89,254/x
  3. Step 3: Cross multiply
    286,246x = 429,369.18 × 89,254
  4. Step 4: Simplify right side
    286,246x = 38,322,916,791.72
  5. Step 5: Solve for x
    x = 38,322,916,791.72/286,246
  6. Step 6: Final answer
    x = 133,881.06

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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.