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Finding the Fourth Proportional to 281,503.85, 388,378.80 and 160,558.16

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Solution

The fourth proportional to 281,503.85, 388,378.80 and 160,558.16 is: 221,515.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,503.85 : 388,378.80 = 160,558.16 : x
  2. Step 2: Convert to fraction form
    281,503.85/388,378.80 = 160,558.16/x
  3. Step 3: Cross multiply
    281,503.85x = 388,378.80 × 160,558.16
  4. Step 4: Simplify right side
    281,503.85x = 62,357,383,569.11
  5. Step 5: Solve for x
    x = 62,357,383,569.11/281,503.85
  6. Step 6: Final answer
    x = 221,515.21

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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.