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Finding the Fourth Proportional to 455,998.32, 684,070.98 and 140,455.08

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Solution

The fourth proportional to 455,998.32, 684,070.98 and 140,455.08 is: 210,705.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,998.32 : 684,070.98 = 140,455.08 : x
  2. Step 2: Convert to fraction form
    455,998.32/684,070.98 = 140,455.08/x
  3. Step 3: Cross multiply
    455,998.32x = 684,070.98 × 140,455.08
  4. Step 4: Simplify right side
    455,998.32x = 96,081,244,221.58
  5. Step 5: Solve for x
    x = 96,081,244,221.58/455,998.32
  6. Step 6: Final answer
    x = 210,705.26

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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.