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Finding the Fourth Proportional to 570,564.80, 856,461.60 and 321,732.80

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Solution

The fourth proportional to 570,564.80, 856,461.60 and 321,732.80 is: 482,945.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,564.80 : 856,461.60 = 321,732.80 : x
  2. Step 2: Convert to fraction form
    570,564.80/856,461.60 = 321,732.80/x
  3. Step 3: Cross multiply
    570,564.80x = 856,461.60 × 321,732.80
  4. Step 4: Simplify right side
    570,564.80x = 275,551,788,660.48
  5. Step 5: Solve for x
    x = 275,551,788,660.48/570,564.80
  6. Step 6: Final answer
    x = 482,945.65

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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.