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Finding the Fourth Proportional to 865,772.96, 1,297,960.08 and 360,714.32

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Solution

The fourth proportional to 865,772.96, 1,297,960.08 and 360,714.32 is: 540,780.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,772.96 : 1,297,960.08 = 360,714.32 : x
  2. Step 2: Convert to fraction form
    865,772.96/1,297,960.08 = 360,714.32/x
  3. Step 3: Cross multiply
    865,772.96x = 1,297,960.08 × 360,714.32
  4. Step 4: Simplify right side
    865,772.96x = 468,192,787,644.35
  5. Step 5: Solve for x
    x = 468,192,787,644.35/865,772.96
  6. Step 6: Final answer
    x = 540,780.10

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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.