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Finding the Fourth Proportional to 313,690.07, 470,270.52 and 136,063.28

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Solution

The fourth proportional to 313,690.07, 470,270.52 and 136,063.28 is: 203,980.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,690.07 : 470,270.52 = 136,063.28 : x
  2. Step 2: Convert to fraction form
    313,690.07/470,270.52 = 136,063.28/x
  3. Step 3: Cross multiply
    313,690.07x = 470,270.52 × 136,063.28
  4. Step 4: Simplify right side
    313,690.07x = 63,986,549,438.51
  5. Step 5: Solve for x
    x = 63,986,549,438.51/313,690.07
  6. Step 6: Final answer
    x = 203,980.16

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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.