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Finding the Fourth Proportional to 666,148, 919,284.24 and 364,342

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Solution

The fourth proportional to 666,148, 919,284.24 and 364,342 is: 502,791.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,148 : 919,284.24 = 364,342 : x
  2. Step 2: Convert to fraction form
    666,148/919,284.24 = 364,342/x
  3. Step 3: Cross multiply
    666,148x = 919,284.24 × 364,342
  4. Step 4: Simplify right side
    666,148x = 334,933,858,570.08
  5. Step 5: Solve for x
    x = 334,933,858,570.08/666,148
  6. Step 6: Final answer
    x = 502,791.96

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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.