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Finding the Fourth Proportional to 276,477.90, 414,746.28 and 76,798.68

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Solution

The fourth proportional to 276,477.90, 414,746.28 and 76,798.68 is: 115,206.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,477.90 : 414,746.28 = 76,798.68 : x
  2. Step 2: Convert to fraction form
    276,477.90/414,746.28 = 76,798.68/x
  3. Step 3: Cross multiply
    276,477.90x = 414,746.28 × 76,798.68
  4. Step 4: Simplify right side
    276,477.90x = 31,851,966,838.91
  5. Step 5: Solve for x
    x = 31,851,966,838.91/276,477.90
  6. Step 6: Final answer
    x = 115,206.19

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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.