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Finding the Fourth Proportional to 556,580.64, 768,081.45 and 314,858.10

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Solution

The fourth proportional to 556,580.64, 768,081.45 and 314,858.10 is: 434,504.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,580.64 : 768,081.45 = 314,858.10 : x
  2. Step 2: Convert to fraction form
    556,580.64/768,081.45 = 314,858.10/x
  3. Step 3: Cross multiply
    556,580.64x = 768,081.45 × 314,858.10
  4. Step 4: Simplify right side
    556,580.64x = 241,836,665,992.25
  5. Step 5: Solve for x
    x = 241,836,665,992.25/556,580.64
  6. Step 6: Final answer
    x = 434,504.27

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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.