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Finding the Fourth Proportional to 416,858.82, 575,463.51 and 279,274.65

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Solution

The fourth proportional to 416,858.82, 575,463.51 and 279,274.65 is: 385,531.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,858.82 : 575,463.51 = 279,274.65 : x
  2. Step 2: Convert to fraction form
    416,858.82/575,463.51 = 279,274.65/x
  3. Step 3: Cross multiply
    416,858.82x = 575,463.51 × 279,274.65
  4. Step 4: Simplify right side
    416,858.82x = 160,712,370,343.02
  5. Step 5: Solve for x
    x = 160,712,370,343.02/416,858.82
  6. Step 6: Final answer
    x = 385,531.89

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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.