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Finding the Fourth Proportional to 409,252.56, 564,498.12 and 256,024.88

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Solution

The fourth proportional to 409,252.56, 564,498.12 and 256,024.88 is: 353,145.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,252.56 : 564,498.12 = 256,024.88 : x
  2. Step 2: Convert to fraction form
    409,252.56/564,498.12 = 256,024.88/x
  3. Step 3: Cross multiply
    409,252.56x = 564,498.12 × 256,024.88
  4. Step 4: Simplify right side
    409,252.56x = 144,525,563,433.23
  5. Step 5: Solve for x
    x = 144,525,563,433.23/409,252.56
  6. Step 6: Final answer
    x = 353,145.17

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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.