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Finding the Fourth Proportional to 342,795.31, 472,998.78 and 213,774.26

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Solution

The fourth proportional to 342,795.31, 472,998.78 and 213,774.26 is: 294,971.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,795.31 : 472,998.78 = 213,774.26 : x
  2. Step 2: Convert to fraction form
    342,795.31/472,998.78 = 213,774.26/x
  3. Step 3: Cross multiply
    342,795.31x = 472,998.78 × 213,774.26
  4. Step 4: Simplify right side
    342,795.31x = 101,114,961,810.41
  5. Step 5: Solve for x
    x = 101,114,961,810.41/342,795.31
  6. Step 6: Final answer
    x = 294,971.84

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1.5x scale

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.