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Finding the Fourth Proportional to 312,684.16, 469,019.76 and 76,028.08

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Solution

The fourth proportional to 312,684.16, 469,019.76 and 76,028.08 is: 114,040.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,684.16 : 469,019.76 = 76,028.08 : x
  2. Step 2: Convert to fraction form
    312,684.16/469,019.76 = 76,028.08/x
  3. Step 3: Cross multiply
    312,684.16x = 469,019.76 × 76,028.08
  4. Step 4: Simplify right side
    312,684.16x = 35,658,671,834.86
  5. Step 5: Solve for x
    x = 35,658,671,834.86/312,684.16
  6. Step 6: Final answer
    x = 114,040.54

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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.