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Finding the Fourth Proportional to 289,040.60, 432,904.80 and 148,635.20

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Solution

The fourth proportional to 289,040.60, 432,904.80 and 148,635.20 is: 222,615.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,040.60 : 432,904.80 = 148,635.20 : x
  2. Step 2: Convert to fraction form
    289,040.60/432,904.80 = 148,635.20/x
  3. Step 3: Cross multiply
    289,040.60x = 432,904.80 × 148,635.20
  4. Step 4: Simplify right side
    289,040.60x = 64,344,891,528.96
  5. Step 5: Solve for x
    x = 64,344,891,528.96/289,040.60
  6. Step 6: Final answer
    x = 222,615.41

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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.