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Finding the Fourth Proportional to 291,223.76, 401,901.72 and 163,907.60

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Solution

The fourth proportional to 291,223.76, 401,901.72 and 163,907.60 is: 226,199.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,223.76 : 401,901.72 = 163,907.60 : x
  2. Step 2: Convert to fraction form
    291,223.76/401,901.72 = 163,907.60/x
  3. Step 3: Cross multiply
    291,223.76x = 401,901.72 × 163,907.60
  4. Step 4: Simplify right side
    291,223.76x = 65,874,746,361.07
  5. Step 5: Solve for x
    x = 65,874,746,361.07/291,223.76
  6. Step 6: Final answer
    x = 226,199.77

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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.