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Finding the Fourth Proportional to 332,406.40, 498,782.40 and 145,436.80

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Solution

The fourth proportional to 332,406.40, 498,782.40 and 145,436.80 is: 218,230.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,406.40 : 498,782.40 = 145,436.80 : x
  2. Step 2: Convert to fraction form
    332,406.40/498,782.40 = 145,436.80/x
  3. Step 3: Cross multiply
    332,406.40x = 498,782.40 × 145,436.80
  4. Step 4: Simplify right side
    332,406.40x = 72,541,316,152.32
  5. Step 5: Solve for x
    x = 72,541,316,152.32/332,406.40
  6. Step 6: Final answer
    x = 218,230.80

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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.