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Finding the Fourth Proportional to 280,903.65, 421,397.43 and 103,397.16

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Solution

The fourth proportional to 280,903.65, 421,397.43 and 103,397.16 is: 155,111.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,903.65 : 421,397.43 = 103,397.16 : x
  2. Step 2: Convert to fraction form
    280,903.65/421,397.43 = 103,397.16/x
  3. Step 3: Cross multiply
    280,903.65x = 421,397.43 × 103,397.16
  4. Step 4: Simplify right side
    280,903.65x = 43,571,297,493.30
  5. Step 5: Solve for x
    x = 43,571,297,493.30/280,903.65
  6. Step 6: Final answer
    x = 155,111.18

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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.