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Finding the Fourth Proportional to 513,907.76, 770,418.66 and 198,585.92

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Solution

The fourth proportional to 513,907.76, 770,418.66 and 198,585.92 is: 297,707.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,907.76 : 770,418.66 = 198,585.92 : x
  2. Step 2: Convert to fraction form
    513,907.76/770,418.66 = 198,585.92/x
  3. Step 3: Cross multiply
    513,907.76x = 770,418.66 × 198,585.92
  4. Step 4: Simplify right side
    513,907.76x = 152,994,298,381.27
  5. Step 5: Solve for x
    x = 152,994,298,381.27/513,907.76
  6. Step 6: Final answer
    x = 297,707.70

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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.