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Finding the Fourth Proportional to 407,477.49, 611,077.82 and 141,175.84

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Solution

The fourth proportional to 407,477.49, 611,077.82 and 141,175.84 is: 211,715.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,477.49 : 611,077.82 = 141,175.84 : x
  2. Step 2: Convert to fraction form
    407,477.49/611,077.82 = 141,175.84/x
  3. Step 3: Cross multiply
    407,477.49x = 611,077.82 × 141,175.84
  4. Step 4: Simplify right side
    407,477.49x = 86,269,422,531.52
  5. Step 5: Solve for x
    x = 86,269,422,531.52/407,477.49
  6. Step 6: Final answer
    x = 211,715.80

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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.