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Finding the Fourth Proportional to 526,967.40, 789,414.30 and 315,978.60

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Solution

The fourth proportional to 526,967.40, 789,414.30 and 315,978.60 is: 473,346.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,967.40 : 789,414.30 = 315,978.60 : x
  2. Step 2: Convert to fraction form
    526,967.40/789,414.30 = 315,978.60/x
  3. Step 3: Cross multiply
    526,967.40x = 789,414.30 × 315,978.60
  4. Step 4: Simplify right side
    526,967.40x = 249,438,025,333.98
  5. Step 5: Solve for x
    x = 249,438,025,333.98/526,967.40
  6. Step 6: Final answer
    x = 473,346.22

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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.