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Finding the Fourth Proportional to 290,347, 400,714.32 and 182,915.24

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Solution

The fourth proportional to 290,347, 400,714.32 and 182,915.24 is: 252,445.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,347 : 400,714.32 = 182,915.24 : x
  2. Step 2: Convert to fraction form
    290,347/400,714.32 = 182,915.24/x
  3. Step 3: Cross multiply
    290,347x = 400,714.32 × 182,915.24
  4. Step 4: Simplify right side
    290,347x = 73,296,756,014.24
  5. Step 5: Solve for x
    x = 73,296,756,014.24/290,347
  6. Step 6: Final answer
    x = 252,445.37

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1.5x scale

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.