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Finding the Fourth Proportional to 512,476.60, 707,203.02 and 286,117.24

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Solution

The fourth proportional to 512,476.60, 707,203.02 and 286,117.24 is: 394,833.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,476.60 : 707,203.02 = 286,117.24 : x
  2. Step 2: Convert to fraction form
    512,476.60/707,203.02 = 286,117.24/x
  3. Step 3: Cross multiply
    512,476.60x = 707,203.02 × 286,117.24
  4. Step 4: Simplify right side
    512,476.60x = 202,342,976,202.07
  5. Step 5: Solve for x
    x = 202,342,976,202.07/512,476.60
  6. Step 6: Final answer
    x = 394,833.59

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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.