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Finding the Fourth Proportional to 348,008.80, 522,085.20 and 198,320.80

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Solution

The fourth proportional to 348,008.80, 522,085.20 and 198,320.80 is: 297,522.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,008.80 : 522,085.20 = 198,320.80 : x
  2. Step 2: Convert to fraction form
    348,008.80/522,085.20 = 198,320.80/x
  3. Step 3: Cross multiply
    348,008.80x = 522,085.20 × 198,320.80
  4. Step 4: Simplify right side
    348,008.80x = 103,540,354,532.16
  5. Step 5: Solve for x
    x = 103,540,354,532.16/348,008.80
  6. Step 6: Final answer
    x = 297,522.23

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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.