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Finding the Fourth Proportional to 299,214.30, 448,165.35 and 265,971.90

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Solution

The fourth proportional to 299,214.30, 448,165.35 and 265,971.90 is: 398,374.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,214.30 : 448,165.35 = 265,971.90 : x
  2. Step 2: Convert to fraction form
    299,214.30/448,165.35 = 265,971.90/x
  3. Step 3: Cross multiply
    299,214.30x = 448,165.35 × 265,971.90
  4. Step 4: Simplify right side
    299,214.30x = 119,199,389,653.67
  5. Step 5: Solve for x
    x = 119,199,389,653.67/299,214.30
  6. Step 6: Final answer
    x = 398,374.64

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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.