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Finding the Fourth Proportional to 280,835,998.65, 420,687,127.58 and 280,835,998.65

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Solution

The fourth proportional to 280,835,998.65, 420,687,127.58 and 280,835,998.65 is: 420,687,127.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,835,998.65 : 420,687,127.58 = 280,835,998.65 : x
  2. Step 2: Convert to fraction form
    280,835,998.65/420,687,127.58 = 280,835,998.65/x
  3. Step 3: Cross multiply
    280,835,998.65x = 420,687,127.58 × 280,835,998.65
  4. Step 4: Simplify right side
    280,835,998.65x = 118,144,089,591,725,072
  5. Step 5: Solve for x
    x = 118,144,089,591,725,072/280,835,998.65
  6. Step 6: Final answer
    x = 420,687,127.58

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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.