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Finding the Fourth Proportional to 510,915.93, 705,119.39 and 281,496.74

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Solution

The fourth proportional to 510,915.93, 705,119.39 and 281,496.74 is: 388,496.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,915.93 : 705,119.39 = 281,496.74 : x
  2. Step 2: Convert to fraction form
    510,915.93/705,119.39 = 281,496.74/x
  3. Step 3: Cross multiply
    510,915.93x = 705,119.39 × 281,496.74
  4. Step 4: Simplify right side
    510,915.93x = 198,488,812,062.33
  5. Step 5: Solve for x
    x = 198,488,812,062.33/510,915.93
  6. Step 6: Final answer
    x = 388,496.03

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1.5x scale

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.