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Finding the Fourth Proportional to 286,707.87, 429,821.24 and 126,757.98

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Solution

The fourth proportional to 286,707.87, 429,821.24 and 126,757.98 is: 190,030.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,707.87 : 429,821.24 = 126,757.98 : x
  2. Step 2: Convert to fraction form
    286,707.87/429,821.24 = 126,757.98/x
  3. Step 3: Cross multiply
    286,707.87x = 429,821.24 × 126,757.98
  4. Step 4: Simplify right side
    286,707.87x = 54,483,271,509.71
  5. Step 5: Solve for x
    x = 54,483,271,509.71/286,707.87
  6. Step 6: Final answer
    x = 190,030.61

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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.