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Finding the Fourth Proportional to 286,493.26, 395,337.52 and 165,642.30

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Solution

The fourth proportional to 286,493.26, 395,337.52 and 165,642.30 is: 228,572.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,493.26 : 395,337.52 = 165,642.30 : x
  2. Step 2: Convert to fraction form
    286,493.26/395,337.52 = 165,642.30/x
  3. Step 3: Cross multiply
    286,493.26x = 395,337.52 × 165,642.30
  4. Step 4: Simplify right side
    286,493.26x = 65,484,616,089.10
  5. Step 5: Solve for x
    x = 65,484,616,089.10/286,493.26
  6. Step 6: Final answer
    x = 228,572.97

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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.