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Finding the Fourth Proportional to 416,405.79, 574,641.81 and 225,419.18

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Solution

The fourth proportional to 416,405.79, 574,641.81 and 225,419.18 is: 311,079.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,405.79 : 574,641.81 = 225,419.18 : x
  2. Step 2: Convert to fraction form
    416,405.79/574,641.81 = 225,419.18/x
  3. Step 3: Cross multiply
    416,405.79x = 574,641.81 × 225,419.18
  4. Step 4: Simplify right side
    416,405.79x = 129,535,282,730.71
  5. Step 5: Solve for x
    x = 129,535,282,730.71/416,405.79
  6. Step 6: Final answer
    x = 311,079.45

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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.