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Finding the Fourth Proportional to 276,407.92, 414,699.54 and 98,911

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Solution

The fourth proportional to 276,407.92, 414,699.54 and 98,911 is: 148,397.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,407.92 : 414,699.54 = 98,911 : x
  2. Step 2: Convert to fraction form
    276,407.92/414,699.54 = 98,911/x
  3. Step 3: Cross multiply
    276,407.92x = 414,699.54 × 98,911
  4. Step 4: Simplify right side
    276,407.92x = 41,018,346,200.94
  5. Step 5: Solve for x
    x = 41,018,346,200.94/276,407.92
  6. Step 6: Final answer
    x = 148,397.87

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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.