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Finding the Fourth Proportional to 286,319.74, 429,384.22 and 115,497.34

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Solution

The fourth proportional to 286,319.74, 429,384.22 and 115,497.34 is: 173,207.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,319.74 : 429,384.22 = 115,497.34 : x
  2. Step 2: Convert to fraction form
    286,319.74/429,384.22 = 115,497.34/x
  3. Step 3: Cross multiply
    286,319.74x = 429,384.22 × 115,497.34
  4. Step 4: Simplify right side
    286,319.74x = 49,592,735,247.97
  5. Step 5: Solve for x
    x = 49,592,735,247.97/286,319.74
  6. Step 6: Final answer
    x = 173,207.53

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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.