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Finding the Fourth Proportional to 254,098.85, 380,640.04 and 152,840.98

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Solution

The fourth proportional to 254,098.85, 380,640.04 and 152,840.98 is: 228,955.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,098.85 : 380,640.04 = 152,840.98 : x
  2. Step 2: Convert to fraction form
    254,098.85/380,640.04 = 152,840.98/x
  3. Step 3: Cross multiply
    254,098.85x = 380,640.04 × 152,840.98
  4. Step 4: Simplify right side
    254,098.85x = 58,177,395,407.14
  5. Step 5: Solve for x
    x = 58,177,395,407.14/254,098.85
  6. Step 6: Final answer
    x = 228,955.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.