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Finding the Fourth Proportional to 286,335.39, 395,143.47 and 159,011

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Solution

The fourth proportional to 286,335.39, 395,143.47 and 159,011 is: 219,435.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,335.39 : 395,143.47 = 159,011 : x
  2. Step 2: Convert to fraction form
    286,335.39/395,143.47 = 159,011/x
  3. Step 3: Cross multiply
    286,335.39x = 395,143.47 × 159,011
  4. Step 4: Simplify right side
    286,335.39x = 62,832,158,308.17
  5. Step 5: Solve for x
    x = 62,832,158,308.17/286,335.39
  6. Step 6: Final answer
    x = 219,435.53

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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.