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Finding the Fourth Proportional to 348,420.60, 522,803.70 and 198,775.80

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Solution

The fourth proportional to 348,420.60, 522,803.70 and 198,775.80 is: 298,262.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,420.60 : 522,803.70 = 198,775.80 : x
  2. Step 2: Convert to fraction form
    348,420.60/522,803.70 = 198,775.80/x
  3. Step 3: Cross multiply
    348,420.60x = 522,803.70 × 198,775.80
  4. Step 4: Simplify right side
    348,420.60x = 103,920,723,710.46
  5. Step 5: Solve for x
    x = 103,920,723,710.46/348,420.60
  6. Step 6: Final answer
    x = 298,262.28

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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.