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Finding the Fourth Proportional to 401,258.68, 601,966.70 and 148,541.11

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Solution

The fourth proportional to 401,258.68, 601,966.70 and 148,541.11 is: 222,840.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,258.68 : 601,966.70 = 148,541.11 : x
  2. Step 2: Convert to fraction form
    401,258.68/601,966.70 = 148,541.11/x
  3. Step 3: Cross multiply
    401,258.68x = 601,966.70 × 148,541.11
  4. Step 4: Simplify right side
    401,258.68x = 89,416,801,801.04
  5. Step 5: Solve for x
    x = 89,416,801,801.04/401,258.68
  6. Step 6: Final answer
    x = 222,840.79

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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.