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Finding the Fourth Proportional to 520,160.25, 717,822 and 281,696.25

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Solution

The fourth proportional to 520,160.25, 717,822 and 281,696.25 is: 388,741.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,160.25 : 717,822 = 281,696.25 : x
  2. Step 2: Convert to fraction form
    520,160.25/717,822 = 281,696.25/x
  3. Step 3: Cross multiply
    520,160.25x = 717,822 × 281,696.25
  4. Step 4: Simplify right side
    520,160.25x = 202,207,765,567.50
  5. Step 5: Solve for x
    x = 202,207,765,567.50/520,160.25
  6. Step 6: Final answer
    x = 388,741.29

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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.