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Finding the Fourth Proportional to 313,962.96, 470,960.79 and 103,617.30

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Solution

The fourth proportional to 313,962.96, 470,960.79 and 103,617.30 is: 155,431.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,962.96 : 470,960.79 = 103,617.30 : x
  2. Step 2: Convert to fraction form
    313,962.96/470,960.79 = 103,617.30/x
  3. Step 3: Cross multiply
    313,962.96x = 470,960.79 × 103,617.30
  4. Step 4: Simplify right side
    313,962.96x = 48,799,685,465.67
  5. Step 5: Solve for x
    x = 48,799,685,465.67/313,962.96
  6. Step 6: Final answer
    x = 155,431.35

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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.