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Finding the Fourth Proportional to 458,463.40, 687,111.90 and 221,295.40

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Solution

The fourth proportional to 458,463.40, 687,111.90 and 221,295.40 is: 331,661.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,463.40 : 687,111.90 = 221,295.40 : x
  2. Step 2: Convert to fraction form
    458,463.40/687,111.90 = 221,295.40/x
  3. Step 3: Cross multiply
    458,463.40x = 687,111.90 × 221,295.40
  4. Step 4: Simplify right side
    458,463.40x = 152,054,702,755.26
  5. Step 5: Solve for x
    x = 152,054,702,755.26/458,463.40
  6. Step 6: Final answer
    x = 331,661.60

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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.