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Finding the Fourth Proportional to 522,354.80, 782,365.80 and 403,090.40

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Solution

The fourth proportional to 522,354.80, 782,365.80 and 403,090.40 is: 603,735.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,354.80 : 782,365.80 = 403,090.40 : x
  2. Step 2: Convert to fraction form
    522,354.80/782,365.80 = 403,090.40/x
  3. Step 3: Cross multiply
    522,354.80x = 782,365.80 × 403,090.40
  4. Step 4: Simplify right side
    522,354.80x = 315,364,143,268.32
  5. Step 5: Solve for x
    x = 315,364,143,268.32/522,354.80
  6. Step 6: Final answer
    x = 603,735.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.