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Finding the Fourth Proportional to 300,386.32, 414,531.93 and 162,564.94

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Solution

The fourth proportional to 300,386.32, 414,531.93 and 162,564.94 is: 224,338.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,386.32 : 414,531.93 = 162,564.94 : x
  2. Step 2: Convert to fraction form
    300,386.32/414,531.93 = 162,564.94/x
  3. Step 3: Cross multiply
    300,386.32x = 414,531.93 × 162,564.94
  4. Step 4: Simplify right side
    300,386.32x = 67,388,358,328.53
  5. Step 5: Solve for x
    x = 67,388,358,328.53/300,386.32
  6. Step 6: Final answer
    x = 224,338.97

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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.