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Finding the Fourth Proportional to 283,348, 391,011.06 and 156,020.32

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Solution

The fourth proportional to 283,348, 391,011.06 and 156,020.32 is: 215,302.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,348 : 391,011.06 = 156,020.32 : x
  2. Step 2: Convert to fraction form
    283,348/391,011.06 = 156,020.32/x
  3. Step 3: Cross multiply
    283,348x = 391,011.06 × 156,020.32
  4. Step 4: Simplify right side
    283,348x = 61,005,670,704.74
  5. Step 5: Solve for x
    x = 61,005,670,704.74/283,348
  6. Step 6: Final answer
    x = 215,302.99

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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.