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Finding the Fourth Proportional to 316,342.32, 476,714.13 and 286,365.66

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Solution

The fourth proportional to 316,342.32, 476,714.13 and 286,365.66 is: 431,540.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,342.32 : 476,714.13 = 286,365.66 : x
  2. Step 2: Convert to fraction form
    316,342.32/476,714.13 = 286,365.66/x
  3. Step 3: Cross multiply
    316,342.32x = 476,714.13 × 286,365.66
  4. Step 4: Simplify right side
    316,342.32x = 136,514,556,468.78
  5. Step 5: Solve for x
    x = 136,514,556,468.78/316,342.32
  6. Step 6: Final answer
    x = 431,540.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.