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Finding the Fourth Proportional to 280,557.86, 420,837.70 and 70,195.80

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Solution

The fourth proportional to 280,557.86, 420,837.70 and 70,195.80 is: 105,293.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,557.86 : 420,837.70 = 70,195.80 : x
  2. Step 2: Convert to fraction form
    280,557.86/420,837.70 = 70,195.80/x
  3. Step 3: Cross multiply
    280,557.86x = 420,837.70 × 70,195.80
  4. Step 4: Simplify right side
    280,557.86x = 29,541,039,021.66
  5. Step 5: Solve for x
    x = 29,541,039,021.66/280,557.86
  6. Step 6: Final answer
    x = 105,293.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.