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Finding the Fourth Proportional to 613,768.66, 920,062.50 and 314,390.24

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Solution

The fourth proportional to 613,768.66, 920,062.50 and 314,390.24 is: 471,282.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,768.66 : 920,062.50 = 314,390.24 : x
  2. Step 2: Convert to fraction form
    613,768.66/920,062.50 = 314,390.24/x
  3. Step 3: Cross multiply
    613,768.66x = 920,062.50 × 314,390.24
  4. Step 4: Simplify right side
    613,768.66x = 289,258,670,190
  5. Step 5: Solve for x
    x = 289,258,670,190/613,768.66
  6. Step 6: Final answer
    x = 471,282.89

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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.