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Finding the Fourth Proportional to 398,260.64, 597,407.76 and 185,228.48

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Solution

The fourth proportional to 398,260.64, 597,407.76 and 185,228.48 is: 277,850.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,260.64 : 597,407.76 = 185,228.48 : x
  2. Step 2: Convert to fraction form
    398,260.64/597,407.76 = 185,228.48/x
  3. Step 3: Cross multiply
    398,260.64x = 597,407.76 × 185,228.48
  4. Step 4: Simplify right side
    398,260.64x = 110,656,931,325.01
  5. Step 5: Solve for x
    x = 110,656,931,325.01/398,260.64
  6. Step 6: Final answer
    x = 277,850.53

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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.