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Finding the Fourth Proportional to 486,143.52, 728,714.88 and 186,544.32

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Solution

The fourth proportional to 486,143.52, 728,714.88 and 186,544.32 is: 279,624.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,143.52 : 728,714.88 = 186,544.32 : x
  2. Step 2: Convert to fraction form
    486,143.52/728,714.88 = 186,544.32/x
  3. Step 3: Cross multiply
    486,143.52x = 728,714.88 × 186,544.32
  4. Step 4: Simplify right side
    486,143.52x = 135,937,621,763.48
  5. Step 5: Solve for x
    x = 135,937,621,763.48/486,143.52
  6. Step 6: Final answer
    x = 279,624.47

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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.