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Finding the Fourth Proportional to 289,713.65, 399,823.29 and 162,389.25

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Solution

The fourth proportional to 289,713.65, 399,823.29 and 162,389.25 is: 224,107.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,713.65 : 399,823.29 = 162,389.25 : x
  2. Step 2: Convert to fraction form
    289,713.65/399,823.29 = 162,389.25/x
  3. Step 3: Cross multiply
    289,713.65x = 399,823.29 × 162,389.25
  4. Step 4: Simplify right side
    289,713.65x = 64,927,004,195.63
  5. Step 5: Solve for x
    x = 64,927,004,195.63/289,713.65
  6. Step 6: Final answer
    x = 224,107.51

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1.5x scale

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.