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Finding the Fourth Proportional to 421,583.61, 632,383.65 and 155,207.01

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Solution

The fourth proportional to 421,583.61, 632,383.65 and 155,207.01 is: 232,813.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,583.61 : 632,383.65 = 155,207.01 : x
  2. Step 2: Convert to fraction form
    421,583.61/632,383.65 = 155,207.01/x
  3. Step 3: Cross multiply
    421,583.61x = 632,383.65 × 155,207.01
  4. Step 4: Simplify right side
    421,583.61x = 98,150,375,489.39
  5. Step 5: Solve for x
    x = 98,150,375,489.39/421,583.61
  6. Step 6: Final answer
    x = 232,813.55

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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.