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Finding the Fourth Proportional to 510,926.27, 705,133.25 and 281,506.62

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Solution

The fourth proportional to 510,926.27, 705,133.25 and 281,506.62 is: 388,509.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,926.27 : 705,133.25 = 281,506.62 : x
  2. Step 2: Convert to fraction form
    510,926.27/705,133.25 = 281,506.62/x
  3. Step 3: Cross multiply
    510,926.27x = 705,133.25 × 281,506.62
  4. Step 4: Simplify right side
    510,926.27x = 198,499,680,149.48
  5. Step 5: Solve for x
    x = 198,499,680,149.48/510,926.27
  6. Step 6: Final answer
    x = 388,509.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.