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Finding the Fourth Proportional to 441,130, 661,471.44 and 188,371.12

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Solution

The fourth proportional to 441,130, 661,471.44 and 188,371.12 is: 282,461.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,130 : 661,471.44 = 188,371.12 : x
  2. Step 2: Convert to fraction form
    441,130/661,471.44 = 188,371.12/x
  3. Step 3: Cross multiply
    441,130x = 661,471.44 × 188,371.12
  4. Step 4: Simplify right side
    441,130x = 124,602,116,000.81
  5. Step 5: Solve for x
    x = 124,602,116,000.81/441,130
  6. Step 6: Final answer
    x = 282,461.22

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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.