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Finding the Fourth Proportional to 280,407.28, 386,960.08 and 153,082.88

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Solution

The fourth proportional to 280,407.28, 386,960.08 and 153,082.88 is: 211,253.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,407.28 : 386,960.08 = 153,082.88 : x
  2. Step 2: Convert to fraction form
    280,407.28/386,960.08 = 153,082.88/x
  3. Step 3: Cross multiply
    280,407.28x = 386,960.08 × 153,082.88
  4. Step 4: Simplify right side
    280,407.28x = 59,236,963,491.43
  5. Step 5: Solve for x
    x = 59,236,963,491.43/280,407.28
  6. Step 6: Final answer
    x = 211,253.30

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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.