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Finding the Fourth Proportional to 381,645.15, 573,032.70 and 213,501.30

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Solution

The fourth proportional to 381,645.15, 573,032.70 and 213,501.30 is: 320,568.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,645.15 : 573,032.70 = 213,501.30 : x
  2. Step 2: Convert to fraction form
    381,645.15/573,032.70 = 213,501.30/x
  3. Step 3: Cross multiply
    381,645.15x = 573,032.70 × 213,501.30
  4. Step 4: Simplify right side
    381,645.15x = 122,343,226,392.51
  5. Step 5: Solve for x
    x = 122,343,226,392.51/381,645.15
  6. Step 6: Final answer
    x = 320,568.01

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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.