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Finding the Fourth Proportional to 652,668.71, 900,739.81 and 380,824.18

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Solution

The fourth proportional to 652,668.71, 900,739.81 and 380,824.18 is: 525,570.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,668.71 : 900,739.81 = 380,824.18 : x
  2. Step 2: Convert to fraction form
    652,668.71/900,739.81 = 380,824.18/x
  3. Step 3: Cross multiply
    652,668.71x = 900,739.81 × 380,824.18
  4. Step 4: Simplify right side
    652,668.71x = 343,023,503,898.52
  5. Step 5: Solve for x
    x = 343,023,503,898.52/652,668.71
  6. Step 6: Final answer
    x = 525,570.63

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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.