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Finding the Fourth Proportional to 343,875.92, 515,830.28 and 144,202.82

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Solution

The fourth proportional to 343,875.92, 515,830.28 and 144,202.82 is: 216,311.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,875.92 : 515,830.28 = 144,202.82 : x
  2. Step 2: Convert to fraction form
    343,875.92/515,830.28 = 144,202.82/x
  3. Step 3: Cross multiply
    343,875.92x = 515,830.28 × 144,202.82
  4. Step 4: Simplify right side
    343,875.92x = 74,384,177,717.22
  5. Step 5: Solve for x
    x = 74,384,177,717.22/343,875.92
  6. Step 6: Final answer
    x = 216,311.10

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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.