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Finding the Fourth Proportional to 262,004.80, 393,007.20 and 209,516.80

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Solution

The fourth proportional to 262,004.80, 393,007.20 and 209,516.80 is: 314,275.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,004.80 : 393,007.20 = 209,516.80 : x
  2. Step 2: Convert to fraction form
    262,004.80/393,007.20 = 209,516.80/x
  3. Step 3: Cross multiply
    262,004.80x = 393,007.20 × 209,516.80
  4. Step 4: Simplify right side
    262,004.80x = 82,341,610,920.96
  5. Step 5: Solve for x
    x = 82,341,610,920.96/262,004.80
  6. Step 6: Final answer
    x = 314,275.20

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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.