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Finding the Fourth Proportional to 652,668.70, 900,739.79 and 380,824.17

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Solution

The fourth proportional to 652,668.70, 900,739.79 and 380,824.17 is: 525,570.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,668.70 : 900,739.79 = 380,824.17 : x
  2. Step 2: Convert to fraction form
    652,668.70/900,739.79 = 380,824.17/x
  3. Step 3: Cross multiply
    652,668.70x = 900,739.79 × 380,824.17
  4. Step 4: Simplify right side
    652,668.70x = 343,023,481,612.94
  5. Step 5: Solve for x
    x = 343,023,481,612.94/652,668.70
  6. Step 6: Final answer
    x = 525,570.61

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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.