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Finding the Fourth Proportional to 518,152.34, 777,228.48 and 202,387.82

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Solution

The fourth proportional to 518,152.34, 777,228.48 and 202,387.82 is: 303,581.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,152.34 : 777,228.48 = 202,387.82 : x
  2. Step 2: Convert to fraction form
    518,152.34/777,228.48 = 202,387.82/x
  3. Step 3: Cross multiply
    518,152.34x = 777,228.48 × 202,387.82
  4. Step 4: Simplify right side
    518,152.34x = 157,301,573,822.97
  5. Step 5: Solve for x
    x = 157,301,573,822.97/518,152.34
  6. Step 6: Final answer
    x = 303,581.71

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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.