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Finding the Fourth Proportional to 413,514, 570,866.06 and 278,259.12

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Solution

The fourth proportional to 413,514, 570,866.06 and 278,259.12 is: 384,143.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,514 : 570,866.06 = 278,259.12 : x
  2. Step 2: Convert to fraction form
    413,514/570,866.06 = 278,259.12/x
  3. Step 3: Cross multiply
    413,514x = 570,866.06 × 278,259.12
  4. Step 4: Simplify right side
    413,514x = 158,848,687,493.47
  5. Step 5: Solve for x
    x = 158,848,687,493.47/413,514
  6. Step 6: Final answer
    x = 384,143.43

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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.