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Finding the Fourth Proportional to 694,209.60, 958,016.30 and 407,734.47

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Solution

The fourth proportional to 694,209.60, 958,016.30 and 407,734.47 is: 562,677.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,209.60 : 958,016.30 = 407,734.47 : x
  2. Step 2: Convert to fraction form
    694,209.60/958,016.30 = 407,734.47/x
  3. Step 3: Cross multiply
    694,209.60x = 958,016.30 × 407,734.47
  4. Step 4: Simplify right side
    694,209.60x = 390,616,266,293.19
  5. Step 5: Solve for x
    x = 390,616,266,293.19/694,209.60
  6. Step 6: Final answer
    x = 562,677.71

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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.