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Finding the Fourth Proportional to 613,775.10, 920,072.15 and 314,396.67

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Solution

The fourth proportional to 613,775.10, 920,072.15 and 314,396.67 is: 471,292.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,775.10 : 920,072.15 = 314,396.67 : x
  2. Step 2: Convert to fraction form
    613,775.10/920,072.15 = 314,396.67/x
  3. Step 3: Cross multiply
    613,775.10x = 920,072.15 × 314,396.67
  4. Step 4: Simplify right side
    613,775.10x = 289,267,623,177.02
  5. Step 5: Solve for x
    x = 289,267,623,177.02/613,775.10
  6. Step 6: Final answer
    x = 471,292.53

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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.