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Finding the Fourth Proportional to 296,538.60, 444,840.30 and 287,207.40

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Solution

The fourth proportional to 296,538.60, 444,840.30 and 287,207.40 is: 430,842.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,538.60 : 444,840.30 = 287,207.40 : x
  2. Step 2: Convert to fraction form
    296,538.60/444,840.30 = 287,207.40/x
  3. Step 3: Cross multiply
    296,538.60x = 444,840.30 × 287,207.40
  4. Step 4: Simplify right side
    296,538.60x = 127,761,425,978.22
  5. Step 5: Solve for x
    x = 127,761,425,978.22/296,538.60
  6. Step 6: Final answer
    x = 430,842.48

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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.