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Finding the Fourth Proportional to 707,284.40, 976,078.32 and 384,978.92

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Solution

The fourth proportional to 707,284.40, 976,078.32 and 384,978.92 is: 531,284.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,284.40 : 976,078.32 = 384,978.92 : x
  2. Step 2: Convert to fraction form
    707,284.40/976,078.32 = 384,978.92/x
  3. Step 3: Cross multiply
    707,284.40x = 976,078.32 × 384,978.92
  4. Step 4: Simplify right side
    707,284.40x = 375,769,577,469.01
  5. Step 5: Solve for x
    x = 375,769,577,469.01/707,284.40
  6. Step 6: Final answer
    x = 531,284.98

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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.