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Finding the Fourth Proportional to 286,239.96, 395,024.85 and 165,397.28

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Solution

The fourth proportional to 286,239.96, 395,024.85 and 165,397.28 is: 228,256.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,239.96 : 395,024.85 = 165,397.28 : x
  2. Step 2: Convert to fraction form
    286,239.96/395,024.85 = 165,397.28/x
  3. Step 3: Cross multiply
    286,239.96x = 395,024.85 × 165,397.28
  4. Step 4: Simplify right side
    286,239.96x = 65,336,033,747.28
  5. Step 5: Solve for x
    x = 65,336,033,747.28/286,239.96
  6. Step 6: Final answer
    x = 228,256.16

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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.