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Finding the Fourth Proportional to 283,341, 391,001.40 and 156,013.32

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Solution

The fourth proportional to 283,341, 391,001.40 and 156,013.32 is: 215,293.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,341 : 391,001.40 = 156,013.32 : x
  2. Step 2: Convert to fraction form
    283,341/391,001.40 = 156,013.32/x
  3. Step 3: Cross multiply
    283,341x = 391,001.40 × 156,013.32
  4. Step 4: Simplify right side
    283,341x = 61,001,426,538.65
  5. Step 5: Solve for x
    x = 61,001,426,538.65/283,341
  6. Step 6: Final answer
    x = 215,293.33

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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.