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Finding the Fourth Proportional to 495,065.93, 683,053.16 and 280,201.41

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Solution

The fourth proportional to 495,065.93, 683,053.16 and 280,201.41 is: 386,599.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,065.93 : 683,053.16 = 280,201.41 : x
  2. Step 2: Convert to fraction form
    495,065.93/683,053.16 = 280,201.41/x
  3. Step 3: Cross multiply
    495,065.93x = 683,053.16 × 280,201.41
  4. Step 4: Simplify right side
    495,065.93x = 191,392,457,135.95
  5. Step 5: Solve for x
    x = 191,392,457,135.95/495,065.93
  6. Step 6: Final answer
    x = 386,599.94

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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.