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Finding the Fourth Proportional to 520,164.75, 780,274.13 and 165,206.55

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Solution

The fourth proportional to 520,164.75, 780,274.13 and 165,206.55 is: 247,818.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,164.75 : 780,274.13 = 165,206.55 : x
  2. Step 2: Convert to fraction form
    520,164.75/780,274.13 = 165,206.55/x
  3. Step 3: Cross multiply
    520,164.75x = 780,274.13 × 165,206.55
  4. Step 4: Simplify right side
    520,164.75x = 128,906,397,071.55
  5. Step 5: Solve for x
    x = 128,906,397,071.55/520,164.75
  6. Step 6: Final answer
    x = 247,818.40

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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.