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Finding the Fourth Proportional to 507,745.72, 761,777.76 and 305,562.40

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Solution

The fourth proportional to 507,745.72, 761,777.76 and 305,562.40 is: 458,439.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,745.72 : 761,777.76 = 305,562.40 : x
  2. Step 2: Convert to fraction form
    507,745.72/761,777.76 = 305,562.40/x
  3. Step 3: Cross multiply
    507,745.72x = 761,777.76 × 305,562.40
  4. Step 4: Simplify right side
    507,745.72x = 232,770,640,612.22
  5. Step 5: Solve for x
    x = 232,770,640,612.22/507,745.72
  6. Step 6: Final answer
    x = 458,439.39

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1.5x scale

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.