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Finding the Fourth Proportional to 478,653.81, 660,711.43 and 427,577.84

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Solution

The fourth proportional to 478,653.81, 660,711.43 and 427,577.84 is: 590,208.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,653.81 : 660,711.43 = 427,577.84 : x
  2. Step 2: Convert to fraction form
    478,653.81/660,711.43 = 427,577.84/x
  3. Step 3: Cross multiply
    478,653.81x = 660,711.43 × 427,577.84
  4. Step 4: Simplify right side
    478,653.81x = 282,505,565,811.29
  5. Step 5: Solve for x
    x = 282,505,565,811.29/478,653.81
  6. Step 6: Final answer
    x = 590,208.54

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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.