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Finding the Fourth Proportional to 652,668.66, 900,739.75 and 380,824.14

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Solution

The fourth proportional to 652,668.66, 900,739.75 and 380,824.14 is: 525,570.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,668.66 : 900,739.75 = 380,824.14 : x
  2. Step 2: Convert to fraction form
    652,668.66/900,739.75 = 380,824.14/x
  3. Step 3: Cross multiply
    652,668.66x = 900,739.75 × 380,824.14
  4. Step 4: Simplify right side
    652,668.66x = 343,023,437,041.78
  5. Step 5: Solve for x
    x = 343,023,437,041.78/652,668.66
  6. Step 6: Final answer
    x = 525,570.56

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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.