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Finding the Fourth Proportional to 285,674.85, 428,566.44 and 114,909.63

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Solution

The fourth proportional to 285,674.85, 428,566.44 and 114,909.63 is: 172,386.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,674.85 : 428,566.44 = 114,909.63 : x
  2. Step 2: Convert to fraction form
    285,674.85/428,566.44 = 114,909.63/x
  3. Step 3: Cross multiply
    285,674.85x = 428,566.44 × 114,909.63
  4. Step 4: Simplify right side
    285,674.85x = 49,246,411,050.82
  5. Step 5: Solve for x
    x = 49,246,411,050.82/285,674.85
  6. Step 6: Final answer
    x = 172,386.23

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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.