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Finding the Fourth Proportional to 411,643.64, 617,219.40 and 158,714.34

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Solution

The fourth proportional to 411,643.64, 617,219.40 and 158,714.34 is: 237,976.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,643.64 : 617,219.40 = 158,714.34 : x
  2. Step 2: Convert to fraction form
    411,643.64/617,219.40 = 158,714.34/x
  3. Step 3: Cross multiply
    411,643.64x = 617,219.40 × 158,714.34
  4. Step 4: Simplify right side
    411,643.64x = 97,961,569,706.20
  5. Step 5: Solve for x
    x = 97,961,569,706.20/411,643.64
  6. Step 6: Final answer
    x = 237,976.64

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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.