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Finding the Fourth Proportional to 652,668.79, 900,739.92 and 380,824.26

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Solution

The fourth proportional to 652,668.79, 900,739.92 and 380,824.26 is: 525,570.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,668.79 : 900,739.92 = 380,824.26 : x
  2. Step 2: Convert to fraction form
    652,668.79/900,739.92 = 380,824.26/x
  3. Step 3: Cross multiply
    652,668.79x = 900,739.92 × 380,824.26
  4. Step 4: Simplify right side
    652,668.79x = 343,023,616,690.37
  5. Step 5: Solve for x
    x = 343,023,616,690.37/652,668.79
  6. Step 6: Final answer
    x = 525,570.74

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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.