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Finding the Fourth Proportional to 456,476.60, 684,714.90 and 172,123.40

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Solution

The fourth proportional to 456,476.60, 684,714.90 and 172,123.40 is: 258,185.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,476.60 : 684,714.90 = 172,123.40 : x
  2. Step 2: Convert to fraction form
    456,476.60/684,714.90 = 172,123.40/x
  3. Step 3: Cross multiply
    456,476.60x = 684,714.90 × 172,123.40
  4. Step 4: Simplify right side
    456,476.60x = 117,855,456,618.66
  5. Step 5: Solve for x
    x = 117,855,456,618.66/456,476.60
  6. Step 6: Final answer
    x = 258,185.10

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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.