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Finding the Fourth Proportional to 354,064.74, 530,737 and 140,983.51

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Solution

The fourth proportional to 354,064.74, 530,737 and 140,983.51 is: 211,331.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,064.74 : 530,737 = 140,983.51 : x
  2. Step 2: Convert to fraction form
    354,064.74/530,737 = 140,983.51/x
  3. Step 3: Cross multiply
    354,064.74x = 530,737 × 140,983.51
  4. Step 4: Simplify right side
    354,064.74x = 74,825,165,146.87
  5. Step 5: Solve for x
    x = 74,825,165,146.87/354,064.74
  6. Step 6: Final answer
    x = 211,331.87

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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.