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Finding the Fourth Proportional to 455,493.78, 683,655.20 and 242,440.50

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Solution

The fourth proportional to 455,493.78, 683,655.20 and 242,440.50 is: 363,881.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,493.78 : 683,655.20 = 242,440.50 : x
  2. Step 2: Convert to fraction form
    455,493.78/683,655.20 = 242,440.50/x
  3. Step 3: Cross multiply
    455,493.78x = 683,655.20 × 242,440.50
  4. Step 4: Simplify right side
    455,493.78x = 165,745,704,739.69
  5. Step 5: Solve for x
    x = 165,745,704,739.69/455,493.78
  6. Step 6: Final answer
    x = 363,881.38

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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.