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Finding the Fourth Proportional to 369,436.77, 509,812.56 and 208,290.42

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Solution

The fourth proportional to 369,436.77, 509,812.56 and 208,290.42 is: 287,435.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,436.77 : 509,812.56 = 208,290.42 : x
  2. Step 2: Convert to fraction form
    369,436.77/509,812.56 = 208,290.42/x
  3. Step 3: Cross multiply
    369,436.77x = 509,812.56 × 208,290.42
  4. Step 4: Simplify right side
    369,436.77x = 106,189,072,243.68
  5. Step 5: Solve for x
    x = 106,189,072,243.68/369,436.77
  6. Step 6: Final answer
    x = 287,435.04

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1.5x scale

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.