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Finding the Fourth Proportional to 570,418.80, 786,930.84 and 343,938.48

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Solution

The fourth proportional to 570,418.80, 786,930.84 and 343,938.48 is: 474,486.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,418.80 : 786,930.84 = 343,938.48 : x
  2. Step 2: Convert to fraction form
    570,418.80/786,930.84 = 343,938.48/x
  3. Step 3: Cross multiply
    570,418.80x = 786,930.84 × 343,938.48
  4. Step 4: Simplify right side
    570,418.80x = 270,655,796,974.72
  5. Step 5: Solve for x
    x = 270,655,796,974.72/570,418.80
  6. Step 6: Final answer
    x = 474,486.11

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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.