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Finding the Fourth Proportional to 289,901.90, 400,063.86 and 162,580.23

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Solution

The fourth proportional to 289,901.90, 400,063.86 and 162,580.23 is: 224,360.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,901.90 : 400,063.86 = 162,580.23 : x
  2. Step 2: Convert to fraction form
    289,901.90/400,063.86 = 162,580.23/x
  3. Step 3: Cross multiply
    289,901.90x = 400,063.86 × 162,580.23
  4. Step 4: Simplify right side
    289,901.90x = 65,042,474,373.49
  5. Step 5: Solve for x
    x = 65,042,474,373.49/289,901.90
  6. Step 6: Final answer
    x = 224,360.29

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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.