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Finding the Fourth Proportional to 458,471.20, 687,706.80 and 411,815.20

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Solution

The fourth proportional to 458,471.20, 687,706.80 and 411,815.20 is: 617,722.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,471.20 : 687,706.80 = 411,815.20 : x
  2. Step 2: Convert to fraction form
    458,471.20/687,706.80 = 411,815.20/x
  3. Step 3: Cross multiply
    458,471.20x = 687,706.80 × 411,815.20
  4. Step 4: Simplify right side
    458,471.20x = 283,208,113,383.36
  5. Step 5: Solve for x
    x = 283,208,113,383.36/458,471.20
  6. Step 6: Final answer
    x = 617,722.80

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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.