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Finding the Fourth Proportional to 292,074.80, 403,063.26 and 157,938.80

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Solution

The fourth proportional to 292,074.80, 403,063.26 and 157,938.80 is: 217,955.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,074.80 : 403,063.26 = 157,938.80 : x
  2. Step 2: Convert to fraction form
    292,074.80/403,063.26 = 157,938.80/x
  3. Step 3: Cross multiply
    292,074.80x = 403,063.26 × 157,938.80
  4. Step 4: Simplify right side
    292,074.80x = 63,659,327,608.49
  5. Step 5: Solve for x
    x = 63,659,327,608.49/292,074.80
  6. Step 6: Final answer
    x = 217,955.56

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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.