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Finding the Fourth Proportional to 381,381.90, 572,966.14 and 359,837.90

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Solution

The fourth proportional to 381,381.90, 572,966.14 and 359,837.90 is: 540,599.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,381.90 : 572,966.14 = 359,837.90 : x
  2. Step 2: Convert to fraction form
    381,381.90/572,966.14 = 359,837.90/x
  3. Step 3: Cross multiply
    381,381.90x = 572,966.14 × 359,837.90
  4. Step 4: Simplify right side
    381,381.90x = 206,174,932,588.71
  5. Step 5: Solve for x
    x = 206,174,932,588.71/381,381.90
  6. Step 6: Final answer
    x = 540,599.68

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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.