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Finding the Fourth Proportional to 285,857.99, 428,565.55 and 165,730.18

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Solution

The fourth proportional to 285,857.99, 428,565.55 and 165,730.18 is: 248,466.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,857.99 : 428,565.55 = 165,730.18 : x
  2. Step 2: Convert to fraction form
    285,857.99/428,565.55 = 165,730.18/x
  3. Step 3: Cross multiply
    285,857.99x = 428,565.55 × 165,730.18
  4. Step 4: Simplify right side
    285,857.99x = 71,026,243,467.35
  5. Step 5: Solve for x
    x = 71,026,243,467.35/285,857.99
  6. Step 6: Final answer
    x = 248,466.89

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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.