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Finding the Fourth Proportional to 305,681.76, 458,540.40 and 81,036.64

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Solution

The fourth proportional to 305,681.76, 458,540.40 and 81,036.64 is: 121,559.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,681.76 : 458,540.40 = 81,036.64 : x
  2. Step 2: Convert to fraction form
    305,681.76/458,540.40 = 81,036.64/x
  3. Step 3: Cross multiply
    305,681.76x = 458,540.40 × 81,036.64
  4. Step 4: Simplify right side
    305,681.76x = 37,158,573,320.26
  5. Step 5: Solve for x
    x = 37,158,573,320.26/305,681.76
  6. Step 6: Final answer
    x = 121,559.67

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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.