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Finding the Fourth Proportional to 455,515.88, 683,688.20 and 242,462.90

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Solution

The fourth proportional to 455,515.88, 683,688.20 and 242,462.90 is: 363,914.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,515.88 : 683,688.20 = 242,462.90 : x
  2. Step 2: Convert to fraction form
    455,515.88/683,688.20 = 242,462.90/x
  3. Step 3: Cross multiply
    455,515.88x = 683,688.20 × 242,462.90
  4. Step 4: Simplify right side
    455,515.88x = 165,769,024,164.69
  5. Step 5: Solve for x
    x = 165,769,024,164.69/455,515.88
  6. Step 6: Final answer
    x = 363,914.92

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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.