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Finding the Fourth Proportional to 458,622.90, 688,043.70 and 221,770.80

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Solution

The fourth proportional to 458,622.90, 688,043.70 and 221,770.80 is: 332,709.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,622.90 : 688,043.70 = 221,770.80 : x
  2. Step 2: Convert to fraction form
    458,622.90/688,043.70 = 221,770.80/x
  3. Step 3: Cross multiply
    458,622.90x = 688,043.70 × 221,770.80
  4. Step 4: Simplify right side
    458,622.90x = 152,588,001,783.96
  5. Step 5: Solve for x
    x = 152,588,001,783.96/458,622.90
  6. Step 6: Final answer
    x = 332,709.08

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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.