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Finding the Fourth Proportional to 408,534.40, 613,457.70 and 308,807.20

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Solution

The fourth proportional to 408,534.40, 613,457.70 and 308,807.20 is: 463,706.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,534.40 : 613,457.70 = 308,807.20 : x
  2. Step 2: Convert to fraction form
    408,534.40/613,457.70 = 308,807.20/x
  3. Step 3: Cross multiply
    408,534.40x = 613,457.70 × 308,807.20
  4. Step 4: Simplify right side
    408,534.40x = 189,440,154,655.44
  5. Step 5: Solve for x
    x = 189,440,154,655.44/408,534.40
  6. Step 6: Final answer
    x = 463,706.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.