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Finding the Fourth Proportional to 280,744,135.65, 421,116,203.48 and 280,744,135.65

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Solution

The fourth proportional to 280,744,135.65, 421,116,203.48 and 280,744,135.65 is: 421,116,203.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,744,135.65 : 421,116,203.48 = 280,744,135.65 : x
  2. Step 2: Convert to fraction form
    280,744,135.65/421,116,203.48 = 280,744,135.65/x
  3. Step 3: Cross multiply
    280,744,135.65x = 421,116,203.48 × 280,744,135.65
  4. Step 4: Simplify right side
    280,744,135.65x = 118,225,904,552,798,400
  5. Step 5: Solve for x
    x = 118,225,904,552,798,400/280,744,135.65
  6. Step 6: Final answer
    x = 421,116,203.48

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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.