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Finding the Fourth Proportional to 405,762.20, 608,643.30 and 153,003.80

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Solution

The fourth proportional to 405,762.20, 608,643.30 and 153,003.80 is: 229,505.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,762.20 : 608,643.30 = 153,003.80 : x
  2. Step 2: Convert to fraction form
    405,762.20/608,643.30 = 153,003.80/x
  3. Step 3: Cross multiply
    405,762.20x = 608,643.30 × 153,003.80
  4. Step 4: Simplify right side
    405,762.20x = 93,124,737,744.54
  5. Step 5: Solve for x
    x = 93,124,737,744.54/405,762.20
  6. Step 6: Final answer
    x = 229,505.70

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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.