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Finding the Fourth Proportional to 405,844.80, 609,458.40 and 288,340.80

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Solution

The fourth proportional to 405,844.80, 609,458.40 and 288,340.80 is: 433,002.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,844.80 : 609,458.40 = 288,340.80 : x
  2. Step 2: Convert to fraction form
    405,844.80/609,458.40 = 288,340.80/x
  3. Step 3: Cross multiply
    405,844.80x = 609,458.40 × 288,340.80
  4. Step 4: Simplify right side
    405,844.80x = 175,731,722,622.72
  5. Step 5: Solve for x
    x = 175,731,722,622.72/405,844.80
  6. Step 6: Final answer
    x = 433,002.28

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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.