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Finding the Fourth Proportional to 260,048.40, 390,072.60 and 161,744.40

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Solution

The fourth proportional to 260,048.40, 390,072.60 and 161,744.40 is: 242,616.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,048.40 : 390,072.60 = 161,744.40 : x
  2. Step 2: Convert to fraction form
    260,048.40/390,072.60 = 161,744.40/x
  3. Step 3: Cross multiply
    260,048.40x = 390,072.60 × 161,744.40
  4. Step 4: Simplify right side
    260,048.40x = 63,092,058,643.44
  5. Step 5: Solve for x
    x = 63,092,058,643.44/260,048.40
  6. Step 6: Final answer
    x = 242,616.60

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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.