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Finding the Fourth Proportional to 294,310.96, 406,558.92 and 283,386.76

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Solution

The fourth proportional to 294,310.96, 406,558.92 and 283,386.76 is: 391,468.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,310.96 : 406,558.92 = 283,386.76 : x
  2. Step 2: Convert to fraction form
    294,310.96/406,558.92 = 283,386.76/x
  3. Step 3: Cross multiply
    294,310.96x = 406,558.92 × 283,386.76
  4. Step 4: Simplify right side
    294,310.96x = 115,213,415,087.90
  5. Step 5: Solve for x
    x = 115,213,415,087.90/294,310.96
  6. Step 6: Final answer
    x = 391,468.31

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1.5x scale

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.