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Finding the Fourth Proportional to 487,419.06, 730,857 and 150,364.08

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Solution

The fourth proportional to 487,419.06, 730,857 and 150,364.08 is: 225,462.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,419.06 : 730,857 = 150,364.08 : x
  2. Step 2: Convert to fraction form
    487,419.06/730,857 = 150,364.08/x
  3. Step 3: Cross multiply
    487,419.06x = 730,857 × 150,364.08
  4. Step 4: Simplify right side
    487,419.06x = 109,894,640,416.56
  5. Step 5: Solve for x
    x = 109,894,640,416.56/487,419.06
  6. Step 6: Final answer
    x = 225,462.34

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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.