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Finding the Fourth Proportional to 313,262.51, 469,893.77 and 76,602.38

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Solution

The fourth proportional to 313,262.51, 469,893.77 and 76,602.38 is: 114,903.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,262.51 : 469,893.77 = 76,602.38 : x
  2. Step 2: Convert to fraction form
    313,262.51/469,893.77 = 76,602.38/x
  3. Step 3: Cross multiply
    313,262.51x = 469,893.77 × 76,602.38
  4. Step 4: Simplify right side
    313,262.51x = 35,994,980,746.16
  5. Step 5: Solve for x
    x = 35,994,980,746.16/313,262.51
  6. Step 6: Final answer
    x = 114,903.57

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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.