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Finding the Fourth Proportional to 777,412.93, 1,072,782.60 and 428,538.01

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Solution

The fourth proportional to 777,412.93, 1,072,782.60 and 428,538.01 is: 591,356.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,412.93 : 1,072,782.60 = 428,538.01 : x
  2. Step 2: Convert to fraction form
    777,412.93/1,072,782.60 = 428,538.01/x
  3. Step 3: Cross multiply
    777,412.93x = 1,072,782.60 × 428,538.01
  4. Step 4: Simplify right side
    777,412.93x = 459,728,120,566.63
  5. Step 5: Solve for x
    x = 459,728,120,566.63/777,412.93
  6. Step 6: Final answer
    x = 591,356.41

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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.