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Finding the Fourth Proportional to 628,894.13, 943,488.81 and 208,170

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Solution

The fourth proportional to 628,894.13, 943,488.81 and 208,170 is: 312,303.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,894.13 : 943,488.81 = 208,170 : x
  2. Step 2: Convert to fraction form
    628,894.13/943,488.81 = 208,170/x
  3. Step 3: Cross multiply
    628,894.13x = 943,488.81 × 208,170
  4. Step 4: Simplify right side
    628,894.13x = 196,406,065,577.70
  5. Step 5: Solve for x
    x = 196,406,065,577.70/628,894.13
  6. Step 6: Final answer
    x = 312,303.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.