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Finding the Fourth Proportional to 668,642.94, 1,003,226.94 and 294,403.50

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Solution

The fourth proportional to 668,642.94, 1,003,226.94 and 294,403.50 is: 441,720.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,642.94 : 1,003,226.94 = 294,403.50 : x
  2. Step 2: Convert to fraction form
    668,642.94/1,003,226.94 = 294,403.50/x
  3. Step 3: Cross multiply
    668,642.94x = 1,003,226.94 × 294,403.50
  4. Step 4: Simplify right side
    668,642.94x = 295,353,522,430.29
  5. Step 5: Solve for x
    x = 295,353,522,430.29/668,642.94
  6. Step 6: Final answer
    x = 441,720.84

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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.