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Finding the Fourth Proportional to 512,895, 707,782.14 and 286,542.12

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Solution

The fourth proportional to 512,895, 707,782.14 and 286,542.12 is: 395,420.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,895 : 707,782.14 = 286,542.12 : x
  2. Step 2: Convert to fraction form
    512,895/707,782.14 = 286,542.12/x
  3. Step 3: Cross multiply
    512,895x = 707,782.14 × 286,542.12
  4. Step 4: Simplify right side
    512,895x = 202,809,394,893.74
  5. Step 5: Solve for x
    x = 202,809,394,893.74/512,895
  6. Step 6: Final answer
    x = 395,420.89

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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.