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Finding the Fourth Proportional to 298,890.48, 412,461.54 and 162,928.20

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Solution

The fourth proportional to 298,890.48, 412,461.54 and 162,928.20 is: 224,836.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,890.48 : 412,461.54 = 162,928.20 : x
  2. Step 2: Convert to fraction form
    298,890.48/412,461.54 = 162,928.20/x
  3. Step 3: Cross multiply
    298,890.48x = 412,461.54 × 162,928.20
  4. Step 4: Simplify right side
    298,890.48x = 67,201,616,281.43
  5. Step 5: Solve for x
    x = 67,201,616,281.43/298,890.48
  6. Step 6: Final answer
    x = 224,836.92

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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.