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Finding the Fourth Proportional to 348,112.80, 521,780.40 and 198,424.80

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Solution

The fourth proportional to 348,112.80, 521,780.40 and 198,424.80 is: 297,415.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,112.80 : 521,780.40 = 198,424.80 : x
  2. Step 2: Convert to fraction form
    348,112.80/521,780.40 = 198,424.80/x
  3. Step 3: Cross multiply
    348,112.80x = 521,780.40 × 198,424.80
  4. Step 4: Simplify right side
    348,112.80x = 103,534,171,513.92
  5. Step 5: Solve for x
    x = 103,534,171,513.92/348,112.80
  6. Step 6: Final answer
    x = 297,415.58

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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.