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Finding the Fourth Proportional to 315,749, 469,563.28 and 305,781.68

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Solution

The fourth proportional to 315,749, 469,563.28 and 305,781.68 is: 454,740.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,749 : 469,563.28 = 305,781.68 : x
  2. Step 2: Convert to fraction form
    315,749/469,563.28 = 305,781.68/x
  3. Step 3: Cross multiply
    315,749x = 469,563.28 × 305,781.68
  4. Step 4: Simplify right side
    315,749x = 143,583,848,624.71
  5. Step 5: Solve for x
    x = 143,583,848,624.71/315,749
  6. Step 6: Final answer
    x = 454,740.47

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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.