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Finding the Fourth Proportional to 398,648.76, 597,975.30 and 103,160.76

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Solution

The fourth proportional to 398,648.76, 597,975.30 and 103,160.76 is: 154,741.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,648.76 : 597,975.30 = 103,160.76 : x
  2. Step 2: Convert to fraction form
    398,648.76/597,975.30 = 103,160.76/x
  3. Step 3: Cross multiply
    398,648.76x = 597,975.30 × 103,160.76
  4. Step 4: Simplify right side
    398,648.76x = 61,687,586,409.23
  5. Step 5: Solve for x
    x = 61,687,586,409.23/398,648.76
  6. Step 6: Final answer
    x = 154,741.70

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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.