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Finding the Fourth Proportional to 296,903.20, 409,718.64 and 160,931.20

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Solution

The fourth proportional to 296,903.20, 409,718.64 and 160,931.20 is: 222,080.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,903.20 : 409,718.64 = 160,931.20 : x
  2. Step 2: Convert to fraction form
    296,903.20/409,718.64 = 160,931.20/x
  3. Step 3: Cross multiply
    296,903.20x = 409,718.64 × 160,931.20
  4. Step 4: Simplify right side
    296,903.20x = 65,936,512,397.57
  5. Step 5: Solve for x
    x = 65,936,512,397.57/296,903.20
  6. Step 6: Final answer
    x = 222,080.84

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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.