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Finding the Fourth Proportional to 538,510.95, 743,114.79 and 296,792.78

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Solution

The fourth proportional to 538,510.95, 743,114.79 and 296,792.78 is: 409,557.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,510.95 : 743,114.79 = 296,792.78 : x
  2. Step 2: Convert to fraction form
    538,510.95/743,114.79 = 296,792.78/x
  3. Step 3: Cross multiply
    538,510.95x = 743,114.79 × 296,792.78
  4. Step 4: Simplify right side
    538,510.95x = 220,551,100,667.64
  5. Step 5: Solve for x
    x = 220,551,100,667.64/538,510.95
  6. Step 6: Final answer
    x = 409,557.32

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Similar ratio
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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.