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Finding the Fourth Proportional to 316,830.41, 437,079.41 and 280,568.82

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Solution

The fourth proportional to 316,830.41, 437,079.41 and 280,568.82 is: 387,055.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,830.41 : 437,079.41 = 280,568.82 : x
  2. Step 2: Convert to fraction form
    316,830.41/437,079.41 = 280,568.82/x
  3. Step 3: Cross multiply
    316,830.41x = 437,079.41 × 280,568.82
  4. Step 4: Simplify right side
    316,830.41x = 122,630,852,699.58
  5. Step 5: Solve for x
    x = 122,630,852,699.58/316,830.41
  6. Step 6: Final answer
    x = 387,055.18

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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.