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Finding the Fourth Proportional to 490,608.34, 677,017.27 and 286,677.88

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Solution

The fourth proportional to 490,608.34, 677,017.27 and 286,677.88 is: 395,602.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,608.34 : 677,017.27 = 286,677.88 : x
  2. Step 2: Convert to fraction form
    490,608.34/677,017.27 = 286,677.88/x
  3. Step 3: Cross multiply
    490,608.34x = 677,017.27 × 286,677.88
  4. Step 4: Simplify right side
    490,608.34x = 194,085,874,352.79
  5. Step 5: Solve for x
    x = 194,085,874,352.79/490,608.34
  6. Step 6: Final answer
    x = 395,602.48

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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.