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Finding the Fourth Proportional to 280,802.70, 421,204.05 and 280,802.70

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Solution

The fourth proportional to 280,802.70, 421,204.05 and 280,802.70 is: 421,204.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,802.70 : 421,204.05 = 280,802.70 : x
  2. Step 2: Convert to fraction form
    280,802.70/421,204.05 = 280,802.70/x
  3. Step 3: Cross multiply
    280,802.70x = 421,204.05 × 280,802.70
  4. Step 4: Simplify right side
    280,802.70x = 118,275,234,490.94
  5. Step 5: Solve for x
    x = 118,275,234,490.94/280,802.70
  6. Step 6: Final answer
    x = 421,204.05

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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.