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Finding the Fourth Proportional to 291,220.67, 402,008.52 and 195,782.74

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Solution

The fourth proportional to 291,220.67, 402,008.52 and 195,782.74 is: 270,263.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,220.67 : 402,008.52 = 195,782.74 : x
  2. Step 2: Convert to fraction form
    291,220.67/402,008.52 = 195,782.74/x
  3. Step 3: Cross multiply
    291,220.67x = 402,008.52 × 195,782.74
  4. Step 4: Simplify right side
    291,220.67x = 78,706,327,538.90
  5. Step 5: Solve for x
    x = 78,706,327,538.90/291,220.67
  6. Step 6: Final answer
    x = 270,263.53

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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.