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Finding the Fourth Proportional to 280,902.65, 421,395.93 and 103,396.16

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Solution

The fourth proportional to 280,902.65, 421,395.93 and 103,396.16 is: 155,109.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,902.65 : 421,395.93 = 103,396.16 : x
  2. Step 2: Convert to fraction form
    280,902.65/421,395.93 = 103,396.16/x
  3. Step 3: Cross multiply
    280,902.65x = 421,395.93 × 103,396.16
  4. Step 4: Simplify right side
    280,902.65x = 43,570,721,001.63
  5. Step 5: Solve for x
    x = 43,570,721,001.63/280,902.65
  6. Step 6: Final answer
    x = 155,109.68

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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.