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Finding the Fourth Proportional to 314,085.47, 470,949.66 and 214,366.50

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Solution

The fourth proportional to 314,085.47, 470,949.66 and 214,366.50 is: 321,427.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,085.47 : 470,949.66 = 214,366.50 : x
  2. Step 2: Convert to fraction form
    314,085.47/470,949.66 = 214,366.50/x
  3. Step 3: Cross multiply
    314,085.47x = 470,949.66 × 214,366.50
  4. Step 4: Simplify right side
    314,085.47x = 100,955,830,290.39
  5. Step 5: Solve for x
    x = 100,955,830,290.39/314,085.47
  6. Step 6: Final answer
    x = 321,427.90

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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.