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Finding the Fourth Proportional to 455,538.78, 683,373.51 and 140,022.18

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Solution

The fourth proportional to 455,538.78, 683,373.51 and 140,022.18 is: 210,053.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,538.78 : 683,373.51 = 140,022.18 : x
  2. Step 2: Convert to fraction form
    455,538.78/683,373.51 = 140,022.18/x
  3. Step 3: Cross multiply
    455,538.78x = 683,373.51 × 140,022.18
  4. Step 4: Simplify right side
    455,538.78x = 95,687,448,624.45
  5. Step 5: Solve for x
    x = 95,687,448,624.45/455,538.78
  6. Step 6: Final answer
    x = 210,053.35

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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.