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Finding the Fourth Proportional to 354,323.40, 531,485.10 and 205,024.20

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Solution

The fourth proportional to 354,323.40, 531,485.10 and 205,024.20 is: 307,536.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,323.40 : 531,485.10 = 205,024.20 : x
  2. Step 2: Convert to fraction form
    354,323.40/531,485.10 = 205,024.20/x
  3. Step 3: Cross multiply
    354,323.40x = 531,485.10 × 205,024.20
  4. Step 4: Simplify right side
    354,323.40x = 108,967,307,439.42
  5. Step 5: Solve for x
    x = 108,967,307,439.42/354,323.40
  6. Step 6: Final answer
    x = 307,536.30

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1.5x scale

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.