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Finding the Fourth Proportional to 319,720.86, 441,214.86 and 176,480.94

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Solution

The fourth proportional to 319,720.86, 441,214.86 and 176,480.94 is: 243,543.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,720.86 : 441,214.86 = 176,480.94 : x
  2. Step 2: Convert to fraction form
    319,720.86/441,214.86 = 176,480.94/x
  3. Step 3: Cross multiply
    319,720.86x = 441,214.86 × 176,480.94
  4. Step 4: Simplify right side
    319,720.86x = 77,866,013,234.77
  5. Step 5: Solve for x
    x = 77,866,013,234.77/319,720.86
  6. Step 6: Final answer
    x = 243,543.74

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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.