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Finding the Fourth Proportional to 525,163.80, 787,745.70 and 314,693.40

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Solution

The fourth proportional to 525,163.80, 787,745.70 and 314,693.40 is: 472,040.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,163.80 : 787,745.70 = 314,693.40 : x
  2. Step 2: Convert to fraction form
    525,163.80/787,745.70 = 314,693.40/x
  3. Step 3: Cross multiply
    525,163.80x = 787,745.70 × 314,693.40
  4. Step 4: Simplify right side
    525,163.80x = 247,898,372,668.38
  5. Step 5: Solve for x
    x = 247,898,372,668.38/525,163.80
  6. Step 6: Final answer
    x = 472,040.10

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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.