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Finding the Fourth Proportional to 421,710.20, 632,346.60 and 155,333.60

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Solution

The fourth proportional to 421,710.20, 632,346.60 and 155,333.60 is: 232,919.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,710.20 : 632,346.60 = 155,333.60 : x
  2. Step 2: Convert to fraction form
    421,710.20/632,346.60 = 155,333.60/x
  3. Step 3: Cross multiply
    421,710.20x = 632,346.60 × 155,333.60
  4. Step 4: Simplify right side
    421,710.20x = 98,224,673,825.76
  5. Step 5: Solve for x
    x = 98,224,673,825.76/421,710.20
  6. Step 6: Final answer
    x = 232,919.84

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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.