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Finding the Fourth Proportional to 289,723.60, 434,585.40 and 264,840.40

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Solution

The fourth proportional to 289,723.60, 434,585.40 and 264,840.40 is: 397,260.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,723.60 : 434,585.40 = 264,840.40 : x
  2. Step 2: Convert to fraction form
    289,723.60/434,585.40 = 264,840.40/x
  3. Step 3: Cross multiply
    289,723.60x = 434,585.40 × 264,840.40
  4. Step 4: Simplify right side
    289,723.60x = 115,095,771,170.16
  5. Step 5: Solve for x
    x = 115,095,771,170.16/289,723.60
  6. Step 6: Final answer
    x = 397,260.60

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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.