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Finding the Fourth Proportional to 507,744.40, 761,908.20 and 192,427.60

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Solution

The fourth proportional to 507,744.40, 761,908.20 and 192,427.60 is: 288,751.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,744.40 : 761,908.20 = 192,427.60 : x
  2. Step 2: Convert to fraction form
    507,744.40/761,908.20 = 192,427.60/x
  3. Step 3: Cross multiply
    507,744.40x = 761,908.20 × 192,427.60
  4. Step 4: Simplify right side
    507,744.40x = 146,612,166,346.32
  5. Step 5: Solve for x
    x = 146,612,166,346.32/507,744.40
  6. Step 6: Final answer
    x = 288,751.91

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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.