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Finding the Fourth Proportional to 299,210.70, 448,579.71 and 149,368.38

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Solution

The fourth proportional to 299,210.70, 448,579.71 and 149,368.38 is: 223,934.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,210.70 : 448,579.71 = 149,368.38 : x
  2. Step 2: Convert to fraction form
    299,210.70/448,579.71 = 149,368.38/x
  3. Step 3: Cross multiply
    299,210.70x = 448,579.71 × 149,368.38
  4. Step 4: Simplify right side
    299,210.70x = 67,003,624,583.57
  5. Step 5: Solve for x
    x = 67,003,624,583.57/299,210.70
  6. Step 6: Final answer
    x = 223,934.59

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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.