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Finding the Fourth Proportional to 397,303.21, 595,941.61 and 172,663.86

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Solution

The fourth proportional to 397,303.21, 595,941.61 and 172,663.86 is: 258,990.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,303.21 : 595,941.61 = 172,663.86 : x
  2. Step 2: Convert to fraction form
    397,303.21/595,941.61 = 172,663.86/x
  3. Step 3: Cross multiply
    397,303.21x = 595,941.61 × 172,663.86
  4. Step 4: Simplify right side
    397,303.21x = 102,897,578,717.22
  5. Step 5: Solve for x
    x = 102,897,578,717.22/397,303.21
  6. Step 6: Final answer
    x = 258,990.05

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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.