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Finding the Fourth Proportional to 478,655.44, 660,514.82 and 263,783.50

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Solution

The fourth proportional to 478,655.44, 660,514.82 and 263,783.50 is: 364,004.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,655.44 : 660,514.82 = 263,783.50 : x
  2. Step 2: Convert to fraction form
    478,655.44/660,514.82 = 263,783.50/x
  3. Step 3: Cross multiply
    478,655.44x = 660,514.82 × 263,783.50
  4. Step 4: Simplify right side
    478,655.44x = 174,232,911,021.47
  5. Step 5: Solve for x
    x = 174,232,911,021.47/478,655.44
  6. Step 6: Final answer
    x = 364,004.87

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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.