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Finding the Fourth Proportional to 314,021.40, 470,945.70 and 127,051.80

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Solution

The fourth proportional to 314,021.40, 470,945.70 and 127,051.80 is: 190,542.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,021.40 : 470,945.70 = 127,051.80 : x
  2. Step 2: Convert to fraction form
    314,021.40/470,945.70 = 127,051.80/x
  3. Step 3: Cross multiply
    314,021.40x = 470,945.70 × 127,051.80
  4. Step 4: Simplify right side
    314,021.40x = 59,834,498,887.26
  5. Step 5: Solve for x
    x = 59,834,498,887.26/314,021.40
  6. Step 6: Final answer
    x = 190,542.74

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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.