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Finding the Fourth Proportional to 542,023.80, 747,983.13 and 300,301.51

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Solution

The fourth proportional to 542,023.80, 747,983.13 and 300,301.51 is: 414,410.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,023.80 : 747,983.13 = 300,301.51 : x
  2. Step 2: Convert to fraction form
    542,023.80/747,983.13 = 300,301.51/x
  3. Step 3: Cross multiply
    542,023.80x = 747,983.13 × 300,301.51
  4. Step 4: Simplify right side
    542,023.80x = 224,620,463,393.53
  5. Step 5: Solve for x
    x = 224,620,463,393.53/542,023.80
  6. Step 6: Final answer
    x = 414,410.70

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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.