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Finding the Fourth Proportional to 513,897.76, 770,403.66 and 198,575.92

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Solution

The fourth proportional to 513,897.76, 770,403.66 and 198,575.92 is: 297,692.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,897.76 : 770,403.66 = 198,575.92 : x
  2. Step 2: Convert to fraction form
    513,897.76/770,403.66 = 198,575.92/x
  3. Step 3: Cross multiply
    513,897.76x = 770,403.66 × 198,575.92
  4. Step 4: Simplify right side
    513,897.76x = 152,983,615,555.87
  5. Step 5: Solve for x
    x = 152,983,615,555.87/513,897.76
  6. Step 6: Final answer
    x = 297,692.71

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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.