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Finding the Fourth Proportional to 421,576.11, 632,372.40 and 155,199.51

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Solution

The fourth proportional to 421,576.11, 632,372.40 and 155,199.51 is: 232,802.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,576.11 : 632,372.40 = 155,199.51 : x
  2. Step 2: Convert to fraction form
    421,576.11/632,372.40 = 155,199.51/x
  3. Step 3: Cross multiply
    421,576.11x = 632,372.40 × 155,199.51
  4. Step 4: Simplify right side
    421,576.11x = 98,143,886,617.52
  5. Step 5: Solve for x
    x = 98,143,886,617.52/421,576.11
  6. Step 6: Final answer
    x = 232,802.30

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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.