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Finding the Fourth Proportional to 358,216.40, 536,741.40 and 305,728.40

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Solution

The fourth proportional to 358,216.40, 536,741.40 and 305,728.40 is: 458,094.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,216.40 : 536,741.40 = 305,728.40 : x
  2. Step 2: Convert to fraction form
    358,216.40/536,741.40 = 305,728.40/x
  3. Step 3: Cross multiply
    358,216.40x = 536,741.40 × 305,728.40
  4. Step 4: Simplify right side
    358,216.40x = 164,097,089,435.76
  5. Step 5: Solve for x
    x = 164,097,089,435.76/358,216.40
  6. Step 6: Final answer
    x = 458,094.85

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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.