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Finding the Fourth Proportional to 458,970.93, 687,459.42 and 221,816.25

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Solution

The fourth proportional to 458,970.93, 687,459.42 and 221,816.25 is: 332,242.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,970.93 : 687,459.42 = 221,816.25 : x
  2. Step 2: Convert to fraction form
    458,970.93/687,459.42 = 221,816.25/x
  3. Step 3: Cross multiply
    458,970.93x = 687,459.42 × 221,816.25
  4. Step 4: Simplify right side
    458,970.93x = 152,489,670,571.58
  5. Step 5: Solve for x
    x = 152,489,670,571.58/458,970.93
  6. Step 6: Final answer
    x = 332,242.55

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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.