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Finding the Fourth Proportional to 701,030.40, 1,051,610.40 and 280,219.20

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Solution

The fourth proportional to 701,030.40, 1,051,610.40 and 280,219.20 is: 420,354.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,030.40 : 1,051,610.40 = 280,219.20 : x
  2. Step 2: Convert to fraction form
    701,030.40/1,051,610.40 = 280,219.20/x
  3. Step 3: Cross multiply
    701,030.40x = 1,051,610.40 × 280,219.20
  4. Step 4: Simplify right side
    701,030.40x = 294,681,424,999.68
  5. Step 5: Solve for x
    x = 294,681,424,999.68/701,030.40
  6. Step 6: Final answer
    x = 420,354.70

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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.