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Finding the Fourth Proportional to 478,256.64, 659,968.64 and 263,389.44

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Solution

The fourth proportional to 478,256.64, 659,968.64 and 263,389.44 is: 363,463.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,256.64 : 659,968.64 = 263,389.44 : x
  2. Step 2: Convert to fraction form
    478,256.64/659,968.64 = 263,389.44/x
  3. Step 3: Cross multiply
    478,256.64x = 659,968.64 × 263,389.44
  4. Step 4: Simplify right side
    478,256.64x = 173,828,770,507.16
  5. Step 5: Solve for x
    x = 173,828,770,507.16/478,256.64
  6. Step 6: Final answer
    x = 363,463.37

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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.