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Finding the Fourth Proportional to 257,941.40, 387,203.70 and 199,038.20

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Solution

The fourth proportional to 257,941.40, 387,203.70 and 199,038.20 is: 298,782.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,941.40 : 387,203.70 = 199,038.20 : x
  2. Step 2: Convert to fraction form
    257,941.40/387,203.70 = 199,038.20/x
  3. Step 3: Cross multiply
    257,941.40x = 387,203.70 × 199,038.20
  4. Step 4: Simplify right side
    257,941.40x = 77,068,327,481.34
  5. Step 5: Solve for x
    x = 77,068,327,481.34/257,941.40
  6. Step 6: Final answer
    x = 298,782.31

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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.