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Finding the Fourth Proportional to 702,928.78, 970,039.96 and 380,638.85

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Solution

The fourth proportional to 702,928.78, 970,039.96 and 380,638.85 is: 525,280.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,928.78 : 970,039.96 = 380,638.85 : x
  2. Step 2: Convert to fraction form
    702,928.78/970,039.96 = 380,638.85/x
  3. Step 3: Cross multiply
    702,928.78x = 970,039.96 × 380,638.85
  4. Step 4: Simplify right side
    702,928.78x = 369,234,894,828.45
  5. Step 5: Solve for x
    x = 369,234,894,828.45/702,928.78
  6. Step 6: Final answer
    x = 525,280.66

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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.