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Finding the Fourth Proportional to 487,208.31, 730,777.32 and 150,213.78

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Solution

The fourth proportional to 487,208.31, 730,777.32 and 150,213.78 is: 225,309.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,208.31 : 730,777.32 = 150,213.78 : x
  2. Step 2: Convert to fraction form
    487,208.31/730,777.32 = 150,213.78/x
  3. Step 3: Cross multiply
    487,208.31x = 730,777.32 × 150,213.78
  4. Step 4: Simplify right side
    487,208.31x = 109,772,824,279.60
  5. Step 5: Solve for x
    x = 109,772,824,279.60/487,208.31
  6. Step 6: Final answer
    x = 225,309.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.