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Finding the Fourth Proportional to 600,237.60, 828,399.36 and 345,638.40

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Solution

The fourth proportional to 600,237.60, 828,399.36 and 345,638.40 is: 477,022.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,237.60 : 828,399.36 = 345,638.40 : x
  2. Step 2: Convert to fraction form
    600,237.60/828,399.36 = 345,638.40/x
  3. Step 3: Cross multiply
    600,237.60x = 828,399.36 × 345,638.40
  4. Step 4: Simplify right side
    600,237.60x = 286,326,629,351.42
  5. Step 5: Solve for x
    x = 286,326,629,351.42/600,237.60
  6. Step 6: Final answer
    x = 477,022.15

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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.