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Finding the Fourth Proportional to 281,701.64, 388,749.40 and 152,640.38

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Solution

The fourth proportional to 281,701.64, 388,749.40 and 152,640.38 is: 210,644.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,701.64 : 388,749.40 = 152,640.38 : x
  2. Step 2: Convert to fraction form
    281,701.64/388,749.40 = 152,640.38/x
  3. Step 3: Cross multiply
    281,701.64x = 388,749.40 × 152,640.38
  4. Step 4: Simplify right side
    281,701.64x = 59,338,856,140.77
  5. Step 5: Solve for x
    x = 59,338,856,140.77/281,701.64
  6. Step 6: Final answer
    x = 210,644.34

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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.