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Finding the Fourth Proportional to 525,609.60, 788,220 and 413,508.48

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Solution

The fourth proportional to 525,609.60, 788,220 and 413,508.48 is: 620,109.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,609.60 : 788,220 = 413,508.48 : x
  2. Step 2: Convert to fraction form
    525,609.60/788,220 = 413,508.48/x
  3. Step 3: Cross multiply
    525,609.60x = 788,220 × 413,508.48
  4. Step 4: Simplify right side
    525,609.60x = 325,935,654,105.60
  5. Step 5: Solve for x
    x = 325,935,654,105.60/525,609.60
  6. Step 6: Final answer
    x = 620,109.78

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1.5x scale

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.