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Finding the Fourth Proportional to 706,268.21, 974,645.30 and 383,978.30

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Solution

The fourth proportional to 706,268.21, 974,645.30 and 383,978.30 is: 529,887.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,268.21 : 974,645.30 = 383,978.30 : x
  2. Step 2: Convert to fraction form
    706,268.21/974,645.30 = 383,978.30/x
  3. Step 3: Cross multiply
    706,268.21x = 974,645.30 × 383,978.30
  4. Step 4: Simplify right side
    706,268.21x = 374,242,643,477.10
  5. Step 5: Solve for x
    x = 374,242,643,477.10/706,268.21
  6. Step 6: Final answer
    x = 529,887.43

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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.