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Finding the Fourth Proportional to 285,387.10, 427,802.72 and 158,911.07

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Solution

The fourth proportional to 285,387.10, 427,802.72 and 158,911.07 is: 238,211.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,387.10 : 427,802.72 = 158,911.07 : x
  2. Step 2: Convert to fraction form
    285,387.10/427,802.72 = 158,911.07/x
  3. Step 3: Cross multiply
    285,387.10x = 427,802.72 × 158,911.07
  4. Step 4: Simplify right side
    285,387.10x = 67,982,585,050.54
  5. Step 5: Solve for x
    x = 67,982,585,050.54/285,387.10
  6. Step 6: Final answer
    x = 238,211.84

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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.