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Finding the Fourth Proportional to 280,792.84, 387,435.54 and 178,781.56

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Solution

The fourth proportional to 280,792.84, 387,435.54 and 178,781.56 is: 246,681.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,792.84 : 387,435.54 = 178,781.56 : x
  2. Step 2: Convert to fraction form
    280,792.84/387,435.54 = 178,781.56/x
  3. Step 3: Cross multiply
    280,792.84x = 387,435.54 × 178,781.56
  4. Step 4: Simplify right side
    280,792.84x = 69,266,330,240.64
  5. Step 5: Solve for x
    x = 69,266,330,240.64/280,792.84
  6. Step 6: Final answer
    x = 246,681.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.