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Finding the Fourth Proportional to 508,165.96, 701,264.25 and 278,718.58

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Solution

The fourth proportional to 508,165.96, 701,264.25 and 278,718.58 is: 384,629.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,165.96 : 701,264.25 = 278,718.58 : x
  2. Step 2: Convert to fraction form
    508,165.96/701,264.25 = 278,718.58/x
  3. Step 3: Cross multiply
    508,165.96x = 701,264.25 × 278,718.58
  4. Step 4: Simplify right side
    508,165.96x = 195,455,375,964.77
  5. Step 5: Solve for x
    x = 195,455,375,964.77/508,165.96
  6. Step 6: Final answer
    x = 384,629.02

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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.