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Finding the Fourth Proportional to 280,703.85, 421,222.53 and 103,335.42

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Solution

The fourth proportional to 280,703.85, 421,222.53 and 103,335.42 is: 155,064.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,703.85 : 421,222.53 = 103,335.42 : x
  2. Step 2: Convert to fraction form
    280,703.85/421,222.53 = 103,335.42/x
  3. Step 3: Cross multiply
    280,703.85x = 421,222.53 × 103,335.42
  4. Step 4: Simplify right side
    280,703.85x = 43,527,207,051.01
  5. Step 5: Solve for x
    x = 43,527,207,051.01/280,703.85
  6. Step 6: Final answer
    x = 155,064.52

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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.