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Finding the Fourth Proportional to 451,534.08, 677,413.74 and 318,673.86

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Solution

The fourth proportional to 451,534.08, 677,413.74 and 318,673.86 is: 478,090.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,534.08 : 677,413.74 = 318,673.86 : x
  2. Step 2: Convert to fraction form
    451,534.08/677,413.74 = 318,673.86/x
  3. Step 3: Cross multiply
    451,534.08x = 677,413.74 × 318,673.86
  4. Step 4: Simplify right side
    451,534.08x = 215,874,051,342.84
  5. Step 5: Solve for x
    x = 215,874,051,342.84/451,534.08
  6. Step 6: Final answer
    x = 478,090.27

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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.