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Finding the Fourth Proportional to 298,772.72, 412,301.02 and 162,807.84

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Solution

The fourth proportional to 298,772.72, 412,301.02 and 162,807.84 is: 224,671.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,772.72 : 412,301.02 = 162,807.84 : x
  2. Step 2: Convert to fraction form
    298,772.72/412,301.02 = 162,807.84/x
  3. Step 3: Cross multiply
    298,772.72x = 412,301.02 × 162,807.84
  4. Step 4: Simplify right side
    298,772.72x = 67,125,838,496.00
  5. Step 5: Solve for x
    x = 67,125,838,496.00/298,772.72
  6. Step 6: Final answer
    x = 224,671.91

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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.