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Finding the Fourth Proportional to 478,821.30, 660,775.40 and 263,956.64

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Solution

The fourth proportional to 478,821.30, 660,775.40 and 263,956.64 is: 364,261.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,821.30 : 660,775.40 = 263,956.64 : x
  2. Step 2: Convert to fraction form
    478,821.30/660,775.40 = 263,956.64/x
  3. Step 3: Cross multiply
    478,821.30x = 660,775.40 × 263,956.64
  4. Step 4: Simplify right side
    478,821.30x = 174,416,054,378.66
  5. Step 5: Solve for x
    x = 174,416,054,378.66/478,821.30
  6. Step 6: Final answer
    x = 364,261.27

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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.