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Finding the Fourth Proportional to 513,659.68, 770,474.13 and 198,184.66

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Solution

The fourth proportional to 513,659.68, 770,474.13 and 198,184.66 is: 297,271.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,659.68 : 770,474.13 = 198,184.66 : x
  2. Step 2: Convert to fraction form
    513,659.68/770,474.13 = 198,184.66/x
  3. Step 3: Cross multiply
    513,659.68x = 770,474.13 × 198,184.66
  4. Step 4: Simplify right side
    513,659.68x = 152,696,153,492.85
  5. Step 5: Solve for x
    x = 152,696,153,492.85/513,659.68
  6. Step 6: Final answer
    x = 297,271.05

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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.