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Finding the Fourth Proportional to 409,166.45, 564,496.90 and 408,535.67

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Solution

The fourth proportional to 409,166.45, 564,496.90 and 408,535.67 is: 563,626.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,166.45 : 564,496.90 = 408,535.67 : x
  2. Step 2: Convert to fraction form
    409,166.45/564,496.90 = 408,535.67/x
  3. Step 3: Cross multiply
    409,166.45x = 564,496.90 × 408,535.67
  4. Step 4: Simplify right side
    409,166.45x = 230,617,119,254.42
  5. Step 5: Solve for x
    x = 230,617,119,254.42/409,166.45
  6. Step 6: Final answer
    x = 563,626.66

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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.