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Finding the Fourth Proportional to 455,883.84, 683,920.80 and 140,325.12

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Solution

The fourth proportional to 455,883.84, 683,920.80 and 140,325.12 is: 210,516.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,883.84 : 683,920.80 = 140,325.12 : x
  2. Step 2: Convert to fraction form
    455,883.84/683,920.80 = 140,325.12/x
  3. Step 3: Cross multiply
    455,883.84x = 683,920.80 × 140,325.12
  4. Step 4: Simplify right side
    455,883.84x = 95,971,268,330.50
  5. Step 5: Solve for x
    x = 95,971,268,330.50/455,883.84
  6. Step 6: Final answer
    x = 210,516.93

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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.