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Finding the Fourth Proportional to 280,696.74, 387,356.94 and 153,369.60

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Solution

The fourth proportional to 280,696.74, 387,356.94 and 153,369.60 is: 211,647.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,696.74 : 387,356.94 = 153,369.60 : x
  2. Step 2: Convert to fraction form
    280,696.74/387,356.94 = 153,369.60/x
  3. Step 3: Cross multiply
    280,696.74x = 387,356.94 × 153,369.60
  4. Step 4: Simplify right side
    280,696.74x = 59,408,778,945.02
  5. Step 5: Solve for x
    x = 59,408,778,945.02/280,696.74
  6. Step 6: Final answer
    x = 211,647.56

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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.