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Finding the Fourth Proportional to 409,635.81, 565,065.88 and 256,408.02

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Solution

The fourth proportional to 409,635.81, 565,065.88 and 256,408.02 is: 353,698.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,635.81 : 565,065.88 = 256,408.02 : x
  2. Step 2: Convert to fraction form
    409,635.81/565,065.88 = 256,408.02/x
  3. Step 3: Cross multiply
    409,635.81x = 565,065.88 × 256,408.02
  4. Step 4: Simplify right side
    409,635.81x = 144,887,423,460.36
  5. Step 5: Solve for x
    x = 144,887,423,460.36/409,635.81
  6. Step 6: Final answer
    x = 353,698.14

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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.