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Finding the Fourth Proportional to 542,023.25, 747,998.10 and 300,309.63

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Solution

The fourth proportional to 542,023.25, 747,998.10 and 300,309.63 is: 414,430.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,023.25 : 747,998.10 = 300,309.63 : x
  2. Step 2: Convert to fraction form
    542,023.25/747,998.10 = 300,309.63/x
  3. Step 3: Cross multiply
    542,023.25x = 747,998.10 × 300,309.63
  4. Step 4: Simplify right side
    542,023.25x = 224,631,027,410.16
  5. Step 5: Solve for x
    x = 224,631,027,410.16/542,023.25
  6. Step 6: Final answer
    x = 414,430.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.