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Finding the Fourth Proportional to 313,859.36, 470,789.16 and 127,002.08

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Solution

The fourth proportional to 313,859.36, 470,789.16 and 127,002.08 is: 190,503.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,859.36 : 470,789.16 = 127,002.08 : x
  2. Step 2: Convert to fraction form
    313,859.36/470,789.16 = 127,002.08/x
  3. Step 3: Cross multiply
    313,859.36x = 470,789.16 × 127,002.08
  4. Step 4: Simplify right side
    313,859.36x = 59,791,202,561.45
  5. Step 5: Solve for x
    x = 59,791,202,561.45/313,859.36
  6. Step 6: Final answer
    x = 190,503.17

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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.