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Finding the Fourth Proportional to 679,209.76, 1,019,028 and 280,038.40

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Solution

The fourth proportional to 679,209.76, 1,019,028 and 280,038.40 is: 420,145.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,209.76 : 1,019,028 = 280,038.40 : x
  2. Step 2: Convert to fraction form
    679,209.76/1,019,028 = 280,038.40/x
  3. Step 3: Cross multiply
    679,209.76x = 1,019,028 × 280,038.40
  4. Step 4: Simplify right side
    679,209.76x = 285,366,970,675.20
  5. Step 5: Solve for x
    x = 285,366,970,675.20/679,209.76
  6. Step 6: Final answer
    x = 420,145.57

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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.