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Finding the Fourth Proportional to 278,347.66, 384,114.83 and 169,412.58

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Solution

The fourth proportional to 278,347.66, 384,114.83 and 169,412.58 is: 233,786.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,347.66 : 384,114.83 = 169,412.58 : x
  2. Step 2: Convert to fraction form
    278,347.66/384,114.83 = 169,412.58/x
  3. Step 3: Cross multiply
    278,347.66x = 384,114.83 × 169,412.58
  4. Step 4: Simplify right side
    278,347.66x = 65,073,883,519.50
  5. Step 5: Solve for x
    x = 65,073,883,519.50/278,347.66
  6. Step 6: Final answer
    x = 233,786.35

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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.