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Finding the Fourth Proportional to 398,133.20, 597,430.20 and 148,840.40

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Solution

The fourth proportional to 398,133.20, 597,430.20 and 148,840.40 is: 223,346.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,133.20 : 597,430.20 = 148,840.40 : x
  2. Step 2: Convert to fraction form
    398,133.20/597,430.20 = 148,840.40/x
  3. Step 3: Cross multiply
    398,133.20x = 597,430.20 × 148,840.40
  4. Step 4: Simplify right side
    398,133.20x = 88,921,749,940.08
  5. Step 5: Solve for x
    x = 88,921,749,940.08/398,133.20
  6. Step 6: Final answer
    x = 223,346.73

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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.