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Finding the Fourth Proportional to 455,954.82, 684,006.55 and 140,411.72

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Solution

The fourth proportional to 455,954.82, 684,006.55 and 140,411.72 is: 210,640.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,954.82 : 684,006.55 = 140,411.72 : x
  2. Step 2: Convert to fraction form
    455,954.82/684,006.55 = 140,411.72/x
  3. Step 3: Cross multiply
    455,954.82x = 684,006.55 × 140,411.72
  4. Step 4: Simplify right side
    455,954.82x = 96,042,539,090.00
  5. Step 5: Solve for x
    x = 96,042,539,090.00/455,954.82
  6. Step 6: Final answer
    x = 210,640.47

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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.