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Finding the Fourth Proportional to 312,102.85, 468,154.28 and 308,992.45

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Solution

The fourth proportional to 312,102.85, 468,154.28 and 308,992.45 is: 463,488.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,102.85 : 468,154.28 = 308,992.45 : x
  2. Step 2: Convert to fraction form
    312,102.85/468,154.28 = 308,992.45/x
  3. Step 3: Cross multiply
    312,102.85x = 468,154.28 × 308,992.45
  4. Step 4: Simplify right side
    312,102.85x = 144,656,136,410.22
  5. Step 5: Solve for x
    x = 144,656,136,410.22/312,102.85
  6. Step 6: Final answer
    x = 463,488.68

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1.5x scale

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.