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Finding the Fourth Proportional to 702,934.78, 970,048.24 and 380,644.86

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Solution

The fourth proportional to 702,934.78, 970,048.24 and 380,644.86 is: 525,288.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,934.78 : 970,048.24 = 380,644.86 : x
  2. Step 2: Convert to fraction form
    702,934.78/970,048.24 = 380,644.86/x
  3. Step 3: Cross multiply
    702,934.78x = 970,048.24 × 380,644.86
  4. Step 4: Simplify right side
    702,934.78x = 369,243,876,508.05
  5. Step 5: Solve for x
    x = 369,243,876,508.05/702,934.78
  6. Step 6: Final answer
    x = 525,288.96

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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.