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Finding the Fourth Proportional to 319,755.76, 479,681 and 106,454

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Solution

The fourth proportional to 319,755.76, 479,681 and 106,454 is: 159,696.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,755.76 : 479,681 = 106,454 : x
  2. Step 2: Convert to fraction form
    319,755.76/479,681 = 106,454/x
  3. Step 3: Cross multiply
    319,755.76x = 479,681 × 106,454
  4. Step 4: Simplify right side
    319,755.76x = 51,063,961,174
  5. Step 5: Solve for x
    x = 51,063,961,174/319,755.76
  6. Step 6: Final answer
    x = 159,696.77

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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.