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Finding the Fourth Proportional to 929,856, 1,394,784 and 229,440

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Solution

The fourth proportional to 929,856, 1,394,784 and 229,440 is: 344,160

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,856 : 1,394,784 = 229,440 : x
  2. Step 2: Convert to fraction form
    929,856/1,394,784 = 229,440/x
  3. Step 3: Cross multiply
    929,856x = 1,394,784 × 229,440
  4. Step 4: Simplify right side
    929,856x = 320,019,240,960
  5. Step 5: Solve for x
    x = 320,019,240,960/929,856
  6. Step 6: Final answer
    x = 344,160

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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.