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Finding the Fourth Proportional to 702,948.20, 970,069.03 and 380,658.65

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Solution

The fourth proportional to 702,948.20, 970,069.03 and 380,658.65 is: 525,309.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,948.20 : 970,069.03 = 380,658.65 : x
  2. Step 2: Convert to fraction form
    702,948.20/970,069.03 = 380,658.65/x
  3. Step 3: Cross multiply
    702,948.20x = 970,069.03 × 380,658.65
  4. Step 4: Simplify right side
    702,948.20x = 369,265,161,564.62
  5. Step 5: Solve for x
    x = 369,265,161,564.62/702,948.20
  6. Step 6: Final answer
    x = 525,309.21

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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.