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Finding the Fourth Proportional to 286,519.62, 429,188.87 and 167,831.13

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Solution

The fourth proportional to 286,519.62, 429,188.87 and 167,831.13 is: 251,400.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,519.62 : 429,188.87 = 167,831.13 : x
  2. Step 2: Convert to fraction form
    286,519.62/429,188.87 = 167,831.13/x
  3. Step 3: Cross multiply
    286,519.62x = 429,188.87 × 167,831.13
  4. Step 4: Simplify right side
    286,519.62x = 72,031,253,455.10
  5. Step 5: Solve for x
    x = 72,031,253,455.10/286,519.62
  6. Step 6: Final answer
    x = 251,400.77

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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.