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Finding the Fourth Proportional to 325,577.80, 456,431 and 325,577.80

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Solution

The fourth proportional to 325,577.80, 456,431 and 325,577.80 is: 456,431

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,577.80 : 456,431 = 325,577.80 : x
  2. Step 2: Convert to fraction form
    325,577.80/456,431 = 325,577.80/x
  3. Step 3: Cross multiply
    325,577.80x = 456,431 × 325,577.80
  4. Step 4: Simplify right side
    325,577.80x = 148,603,800,831.80
  5. Step 5: Solve for x
    x = 148,603,800,831.80/325,577.80
  6. Step 6: Final answer
    x = 456,431

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.