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Finding the Fourth Proportional to 276,078.40, 414,117.60 and 98,603.35

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Solution

The fourth proportional to 276,078.40, 414,117.60 and 98,603.35 is: 147,905.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,078.40 : 414,117.60 = 98,603.35 : x
  2. Step 2: Convert to fraction form
    276,078.40/414,117.60 = 98,603.35/x
  3. Step 3: Cross multiply
    276,078.40x = 414,117.60 × 98,603.35
  4. Step 4: Simplify right side
    276,078.40x = 40,833,382,653.96
  5. Step 5: Solve for x
    x = 40,833,382,653.96/276,078.40
  6. Step 6: Final answer
    x = 147,905.03

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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.