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Finding the Fourth Proportional to 398,428.70, 597,643.05 and 149,078.30

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Solution

The fourth proportional to 398,428.70, 597,643.05 and 149,078.30 is: 223,617.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,428.70 : 597,643.05 = 149,078.30 : x
  2. Step 2: Convert to fraction form
    398,428.70/597,643.05 = 149,078.30/x
  3. Step 3: Cross multiply
    398,428.70x = 597,643.05 × 149,078.30
  4. Step 4: Simplify right side
    398,428.70x = 89,095,609,900.82
  5. Step 5: Solve for x
    x = 89,095,609,900.82/398,428.70
  6. Step 6: Final answer
    x = 223,617.45

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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.