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Finding the Fourth Proportional to 315,750, 469,564.77 and 305,782.68

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Solution

The fourth proportional to 315,750, 469,564.77 and 305,782.68 is: 454,741.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,750 : 469,564.77 = 305,782.68 : x
  2. Step 2: Convert to fraction form
    315,750/469,564.77 = 305,782.68/x
  3. Step 3: Cross multiply
    315,750x = 469,564.77 × 305,782.68
  4. Step 4: Simplify right side
    315,750x = 143,584,773,804.18
  5. Step 5: Solve for x
    x = 143,584,773,804.18/315,750
  6. Step 6: Final answer
    x = 454,741.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.