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Finding the Fourth Proportional to 262,457.20, 393,685.80 and 209,969.20

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Solution

The fourth proportional to 262,457.20, 393,685.80 and 209,969.20 is: 314,953.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,457.20 : 393,685.80 = 209,969.20 : x
  2. Step 2: Convert to fraction form
    262,457.20/393,685.80 = 209,969.20/x
  3. Step 3: Cross multiply
    262,457.20x = 393,685.80 × 209,969.20
  4. Step 4: Simplify right side
    262,457.20x = 82,661,892,477.36
  5. Step 5: Solve for x
    x = 82,661,892,477.36/262,457.20
  6. Step 6: Final answer
    x = 314,953.80

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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.