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Finding the Fourth Proportional to 356,198.40, 534,124.80 and 198,259.20

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Solution

The fourth proportional to 356,198.40, 534,124.80 and 198,259.20 is: 297,292.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,198.40 : 534,124.80 = 198,259.20 : x
  2. Step 2: Convert to fraction form
    356,198.40/534,124.80 = 198,259.20/x
  3. Step 3: Cross multiply
    356,198.40x = 534,124.80 × 198,259.20
  4. Step 4: Simplify right side
    356,198.40x = 105,895,155,548.16
  5. Step 5: Solve for x
    x = 105,895,155,548.16/356,198.40
  6. Step 6: Final answer
    x = 297,292.62

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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.