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Finding the Fourth Proportional to 283,470.84, 391,190.82 and 156,146.13

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Solution

The fourth proportional to 283,470.84, 391,190.82 and 156,146.13 is: 215,482.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,470.84 : 391,190.82 = 156,146.13 : x
  2. Step 2: Convert to fraction form
    283,470.84/391,190.82 = 156,146.13/x
  3. Step 3: Cross multiply
    283,470.84x = 391,190.82 × 156,146.13
  4. Step 4: Simplify right side
    283,470.84x = 61,082,932,048.98
  5. Step 5: Solve for x
    x = 61,082,932,048.98/283,470.84
  6. Step 6: Final answer
    x = 215,482.24

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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.