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Finding the Fourth Proportional to 542,983.84, 749,317.84 and 301,265.87

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Solution

The fourth proportional to 542,983.84, 749,317.84 and 301,265.87 is: 415,746.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,983.84 : 749,317.84 = 301,265.87 : x
  2. Step 2: Convert to fraction form
    542,983.84/749,317.84 = 301,265.87/x
  3. Step 3: Cross multiply
    542,983.84x = 749,317.84 × 301,265.87
  4. Step 4: Simplify right side
    542,983.84x = 225,743,886,474.37
  5. Step 5: Solve for x
    x = 225,743,886,474.37/542,983.84
  6. Step 6: Final answer
    x = 415,746.97

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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.