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Finding the Fourth Proportional to 478,051.42, 659,698.20 and 263,193.10

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Solution

The fourth proportional to 478,051.42, 659,698.20 and 263,193.10 is: 363,199.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,051.42 : 659,698.20 = 263,193.10 : x
  2. Step 2: Convert to fraction form
    478,051.42/659,698.20 = 263,193.10/x
  3. Step 3: Cross multiply
    478,051.42x = 659,698.20 × 263,193.10
  4. Step 4: Simplify right side
    478,051.42x = 173,628,014,322.42
  5. Step 5: Solve for x
    x = 173,628,014,322.42/478,051.42
  6. Step 6: Final answer
    x = 363,199.45

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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.