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Finding the Fourth Proportional to 421,740.60, 582,006.24 and 230,762.04

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Solution

The fourth proportional to 421,740.60, 582,006.24 and 230,762.04 is: 318,453.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,740.60 : 582,006.24 = 230,762.04 : x
  2. Step 2: Convert to fraction form
    421,740.60/582,006.24 = 230,762.04/x
  3. Step 3: Cross multiply
    421,740.60x = 582,006.24 × 230,762.04
  4. Step 4: Simplify right side
    421,740.60x = 134,304,947,235.13
  5. Step 5: Solve for x
    x = 134,304,947,235.13/421,740.60
  6. Step 6: Final answer
    x = 318,453.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.