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Finding the Fourth Proportional to 409,134.64, 564,673.08 and 256,230.76

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Solution

The fourth proportional to 409,134.64, 564,673.08 and 256,230.76 is: 353,640.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,134.64 : 564,673.08 = 256,230.76 : x
  2. Step 2: Convert to fraction form
    409,134.64/564,673.08 = 256,230.76/x
  3. Step 3: Cross multiply
    409,134.64x = 564,673.08 × 256,230.76
  4. Step 4: Simplify right side
    409,134.64x = 144,686,612,439.94
  5. Step 5: Solve for x
    x = 144,686,612,439.94/409,134.64
  6. Step 6: Final answer
    x = 353,640.58

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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.