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Finding the Fourth Proportional to 228,298.70, 342,448.05 and 103,639.70

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Solution

The fourth proportional to 228,298.70, 342,448.05 and 103,639.70 is: 155,459.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,298.70 : 342,448.05 = 103,639.70 : x
  2. Step 2: Convert to fraction form
    228,298.70/342,448.05 = 103,639.70/x
  3. Step 3: Cross multiply
    228,298.70x = 342,448.05 × 103,639.70
  4. Step 4: Simplify right side
    228,298.70x = 35,491,213,167.59
  5. Step 5: Solve for x
    x = 35,491,213,167.59/228,298.70
  6. Step 6: Final answer
    x = 155,459.55

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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.