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Finding the Fourth Proportional to 713,887.78, 984,608.36 and 442,106.56

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Solution

The fourth proportional to 713,887.78, 984,608.36 and 442,106.56 is: 609,762.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,887.78 : 984,608.36 = 442,106.56 : x
  2. Step 2: Convert to fraction form
    713,887.78/984,608.36 = 442,106.56/x
  3. Step 3: Cross multiply
    713,887.78x = 984,608.36 × 442,106.56
  4. Step 4: Simplify right side
    713,887.78x = 435,301,810,126.55
  5. Step 5: Solve for x
    x = 435,301,810,126.55/713,887.78
  6. Step 6: Final answer
    x = 609,762.24

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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.