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Finding the Fourth Proportional to 209,457, 289,048.42 and 124,572.20

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Solution

The fourth proportional to 209,457, 289,048.42 and 124,572.20 is: 171,908.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,457 : 289,048.42 = 124,572.20 : x
  2. Step 2: Convert to fraction form
    209,457/289,048.42 = 124,572.20/x
  3. Step 3: Cross multiply
    209,457x = 289,048.42 × 124,572.20
  4. Step 4: Simplify right side
    209,457x = 36,007,397,585.92
  5. Step 5: Solve for x
    x = 36,007,397,585.92/209,457
  6. Step 6: Final answer
    x = 171,908.30

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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.