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Finding the Fourth Proportional to 455,855.55, 683,792.12 and 140,312.13

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Solution

The fourth proportional to 455,855.55, 683,792.12 and 140,312.13 is: 210,470.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,855.55 : 683,792.12 = 140,312.13 : x
  2. Step 2: Convert to fraction form
    455,855.55/683,792.12 = 140,312.13/x
  3. Step 3: Cross multiply
    455,855.55x = 683,792.12 × 140,312.13
  4. Step 4: Simplify right side
    455,855.55x = 95,944,328,834.42
  5. Step 5: Solve for x
    x = 95,944,328,834.42/455,855.55
  6. Step 6: Final answer
    x = 210,470.90

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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.