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Finding the Fourth Proportional to 306,218.78, 459,298.46 and 92,988.53

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Solution

The fourth proportional to 306,218.78, 459,298.46 and 92,988.53 is: 139,473.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,218.78 : 459,298.46 = 92,988.53 : x
  2. Step 2: Convert to fraction form
    306,218.78/459,298.46 = 92,988.53/x
  3. Step 3: Cross multiply
    306,218.78x = 459,298.46 × 92,988.53
  4. Step 4: Simplify right side
    306,218.78x = 42,709,488,626.66
  5. Step 5: Solve for x
    x = 42,709,488,626.66/306,218.78
  6. Step 6: Final answer
    x = 139,473.77

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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.