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Finding the Fourth Proportional to 285,981.76, 429,044.64 and 167,752

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Solution

The fourth proportional to 285,981.76, 429,044.64 and 167,752 is: 251,670.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,981.76 : 429,044.64 = 167,752 : x
  2. Step 2: Convert to fraction form
    285,981.76/429,044.64 = 167,752/x
  3. Step 3: Cross multiply
    285,981.76x = 429,044.64 × 167,752
  4. Step 4: Simplify right side
    285,981.76x = 71,973,096,449.28
  5. Step 5: Solve for x
    x = 71,973,096,449.28/285,981.76
  6. Step 6: Final answer
    x = 251,670.23

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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.