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Finding the Fourth Proportional to 418,411.29, 577,409.61 and 227,424.57

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Solution

The fourth proportional to 418,411.29, 577,409.61 and 227,424.57 is: 313,847.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,411.29 : 577,409.61 = 227,424.57 : x
  2. Step 2: Convert to fraction form
    418,411.29/577,409.61 = 227,424.57/x
  3. Step 3: Cross multiply
    418,411.29x = 577,409.61 × 227,424.57
  4. Step 4: Simplify right side
    418,411.29x = 131,317,132,268.12
  5. Step 5: Solve for x
    x = 131,317,132,268.12/418,411.29
  6. Step 6: Final answer
    x = 313,847.01

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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.