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Finding the Fourth Proportional to 343,950.78, 474,665.72 and 198,751.74

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Solution

The fourth proportional to 343,950.78, 474,665.72 and 198,751.74 is: 274,285.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,950.78 : 474,665.72 = 198,751.74 : x
  2. Step 2: Convert to fraction form
    343,950.78/474,665.72 = 198,751.74/x
  3. Step 3: Cross multiply
    343,950.78x = 474,665.72 × 198,751.74
  4. Step 4: Simplify right side
    343,950.78x = 94,340,636,774.59
  5. Step 5: Solve for x
    x = 94,340,636,774.59/343,950.78
  6. Step 6: Final answer
    x = 274,285.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.