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Finding the Fourth Proportional to 613,778.67, 920,077.50 and 314,400.24

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Solution

The fourth proportional to 613,778.67, 920,077.50 and 314,400.24 is: 471,297.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,778.67 : 920,077.50 = 314,400.24 : x
  2. Step 2: Convert to fraction form
    613,778.67/920,077.50 = 314,400.24/x
  3. Step 3: Cross multiply
    613,778.67x = 920,077.50 × 314,400.24
  4. Step 4: Simplify right side
    613,778.67x = 289,272,586,818.60
  5. Step 5: Solve for x
    x = 289,272,586,818.60/613,778.67
  6. Step 6: Final answer
    x = 471,297.88

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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.