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Finding the Fourth Proportional to 458,974.83, 687,970.04 and 221,991.51

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Solution

The fourth proportional to 458,974.83, 687,970.04 and 221,991.51 is: 332,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,974.83 : 687,970.04 = 221,991.51 : x
  2. Step 2: Convert to fraction form
    458,974.83/687,970.04 = 221,991.51/x
  3. Step 3: Cross multiply
    458,974.83x = 687,970.04 × 221,991.51
  4. Step 4: Simplify right side
    458,974.83x = 152,723,506,904.40
  5. Step 5: Solve for x
    x = 152,723,506,904.40/458,974.83
  6. Step 6: Final answer
    x = 332,749.20

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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.