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Finding the Fourth Proportional to 557,785.71, 769,714.77 and 316,071.18

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Solution

The fourth proportional to 557,785.71, 769,714.77 and 316,071.18 is: 436,161.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,785.71 : 769,714.77 = 316,071.18 : x
  2. Step 2: Convert to fraction form
    557,785.71/769,714.77 = 316,071.18/x
  3. Step 3: Cross multiply
    557,785.71x = 769,714.77 × 316,071.18
  4. Step 4: Simplify right side
    557,785.71x = 243,284,655,617.33
  5. Step 5: Solve for x
    x = 243,284,655,617.33/557,785.71
  6. Step 6: Final answer
    x = 436,161.51

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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.