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Finding the Fourth Proportional to 308,002.10, 462,003.15 and 139,603.10

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Solution

The fourth proportional to 308,002.10, 462,003.15 and 139,603.10 is: 209,404.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,002.10 : 462,003.15 = 139,603.10 : x
  2. Step 2: Convert to fraction form
    308,002.10/462,003.15 = 139,603.10/x
  3. Step 3: Cross multiply
    308,002.10x = 462,003.15 × 139,603.10
  4. Step 4: Simplify right side
    308,002.10x = 64,497,071,949.77
  5. Step 5: Solve for x
    x = 64,497,071,949.77/308,002.10
  6. Step 6: Final answer
    x = 209,404.65

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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.