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Finding the Fourth Proportional to 409,027.65, 564,735.24 and 256,127.19

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Solution

The fourth proportional to 409,027.65, 564,735.24 and 256,127.19 is: 353,629.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,027.65 : 564,735.24 = 256,127.19 : x
  2. Step 2: Convert to fraction form
    409,027.65/564,735.24 = 256,127.19/x
  3. Step 3: Cross multiply
    409,027.65x = 564,735.24 × 256,127.19
  4. Step 4: Simplify right side
    409,027.65x = 144,644,050,115.18
  5. Step 5: Solve for x
    x = 144,644,050,115.18/409,027.65
  6. Step 6: Final answer
    x = 353,629.03

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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.