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Finding the Fourth Proportional to 260,089.50, 358,923.51 and 140,857.50

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Solution

The fourth proportional to 260,089.50, 358,923.51 and 140,857.50 is: 194,383.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,089.50 : 358,923.51 = 140,857.50 : x
  2. Step 2: Convert to fraction form
    260,089.50/358,923.51 = 140,857.50/x
  3. Step 3: Cross multiply
    260,089.50x = 358,923.51 × 140,857.50
  4. Step 4: Simplify right side
    260,089.50x = 50,557,068,309.83
  5. Step 5: Solve for x
    x = 50,557,068,309.83/260,089.50
  6. Step 6: Final answer
    x = 194,383.35

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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.