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Finding the Fourth Proportional to 512,377.56, 707,080.32 and 286,023.06

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Solution

The fourth proportional to 512,377.56, 707,080.32 and 286,023.06 is: 394,711.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,377.56 : 707,080.32 = 286,023.06 : x
  2. Step 2: Convert to fraction form
    512,377.56/707,080.32 = 286,023.06/x
  3. Step 3: Cross multiply
    512,377.56x = 707,080.32 × 286,023.06
  4. Step 4: Simplify right side
    512,377.56x = 202,241,276,792.18
  5. Step 5: Solve for x
    x = 202,241,276,792.18/512,377.56
  6. Step 6: Final answer
    x = 394,711.42

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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.