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Finding the Fourth Proportional to 470,696.75, 706,045.13 and 138,272.75

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Solution

The fourth proportional to 470,696.75, 706,045.13 and 138,272.75 is: 207,409.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,696.75 : 706,045.13 = 138,272.75 : x
  2. Step 2: Convert to fraction form
    470,696.75/706,045.13 = 138,272.75/x
  3. Step 3: Cross multiply
    470,696.75x = 706,045.13 × 138,272.75
  4. Step 4: Simplify right side
    470,696.75x = 97,626,801,749.21
  5. Step 5: Solve for x
    x = 97,626,801,749.21/470,696.75
  6. Step 6: Final answer
    x = 207,409.13

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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.