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Finding the Fourth Proportional to 398,222.76, 597,390.30 and 148,881

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Solution

The fourth proportional to 398,222.76, 597,390.30 and 148,881 is: 223,342.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,222.76 : 597,390.30 = 148,881 : x
  2. Step 2: Convert to fraction form
    398,222.76/597,390.30 = 148,881/x
  3. Step 3: Cross multiply
    398,222.76x = 597,390.30 × 148,881
  4. Step 4: Simplify right side
    398,222.76x = 88,940,065,254.30
  5. Step 5: Solve for x
    x = 88,940,065,254.30/398,222.76
  6. Step 6: Final answer
    x = 223,342.50

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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.