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Finding the Fourth Proportional to 400,890.64, 600,913.55 and 148,009.20

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Solution

The fourth proportional to 400,890.64, 600,913.55 and 148,009.20 is: 221,857.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,890.64 : 600,913.55 = 148,009.20 : x
  2. Step 2: Convert to fraction form
    400,890.64/600,913.55 = 148,009.20/x
  3. Step 3: Cross multiply
    400,890.64x = 600,913.55 × 148,009.20
  4. Step 4: Simplify right side
    400,890.64x = 88,940,730,800.09
  5. Step 5: Solve for x
    x = 88,940,730,800.09/400,890.64
  6. Step 6: Final answer
    x = 221,857.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.