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Finding the Fourth Proportional to 405,532.80, 608,304 and 245,643.60

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Solution

The fourth proportional to 405,532.80, 608,304 and 245,643.60 is: 368,468.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,532.80 : 608,304 = 245,643.60 : x
  2. Step 2: Convert to fraction form
    405,532.80/608,304 = 245,643.60/x
  3. Step 3: Cross multiply
    405,532.80x = 608,304 × 245,643.60
  4. Step 4: Simplify right side
    405,532.80x = 149,425,984,454.40
  5. Step 5: Solve for x
    x = 149,425,984,454.40/405,532.80
  6. Step 6: Final answer
    x = 368,468.31

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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.