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Finding the Fourth Proportional to 296,478.66, 409,140.05 and 160,512.56

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Solution

The fourth proportional to 296,478.66, 409,140.05 and 160,512.56 is: 221,507.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,478.66 : 409,140.05 = 160,512.56 : x
  2. Step 2: Convert to fraction form
    296,478.66/409,140.05 = 160,512.56/x
  3. Step 3: Cross multiply
    296,478.66x = 409,140.05 × 160,512.56
  4. Step 4: Simplify right side
    296,478.66x = 65,672,113,975.77
  5. Step 5: Solve for x
    x = 65,672,113,975.77/296,478.66
  6. Step 6: Final answer
    x = 221,507.05

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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.