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Finding the Fourth Proportional to 409,165.45, 564,495.53 and 408,534.67

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Solution

The fourth proportional to 409,165.45, 564,495.53 and 408,534.67 is: 563,625.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,165.45 : 564,495.53 = 408,534.67 : x
  2. Step 2: Convert to fraction form
    409,165.45/564,495.53 = 408,534.67/x
  3. Step 3: Cross multiply
    409,165.45x = 564,495.53 × 408,534.67
  4. Step 4: Simplify right side
    409,165.45x = 230,615,993,022.35
  5. Step 5: Solve for x
    x = 230,615,993,022.35/409,165.45
  6. Step 6: Final answer
    x = 563,625.28

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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.