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Finding the Fourth Proportional to 276,712, 381,718.12 and 174,700.80

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Solution

The fourth proportional to 276,712, 381,718.12 and 174,700.80 is: 240,995.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,712 : 381,718.12 = 174,700.80 : x
  2. Step 2: Convert to fraction form
    276,712/381,718.12 = 174,700.80/x
  3. Step 3: Cross multiply
    276,712x = 381,718.12 × 174,700.80
  4. Step 4: Simplify right side
    276,712x = 66,686,460,938.50
  5. Step 5: Solve for x
    x = 66,686,460,938.50/276,712
  6. Step 6: Final answer
    x = 240,995.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.