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Finding the Fourth Proportional to 701,378.40, 967,921.20 and 429,441.12

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Solution

The fourth proportional to 701,378.40, 967,921.20 and 429,441.12 is: 592,640.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,378.40 : 967,921.20 = 429,441.12 : x
  2. Step 2: Convert to fraction form
    701,378.40/967,921.20 = 429,441.12/x
  3. Step 3: Cross multiply
    701,378.40x = 967,921.20 × 429,441.12
  4. Step 4: Simplify right side
    701,378.40x = 415,665,164,199.74
  5. Step 5: Solve for x
    x = 415,665,164,199.74/701,378.40
  6. Step 6: Final answer
    x = 592,640.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.