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Finding the Fourth Proportional to 469,323.87, 647,756.24 and 278,442.51

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Solution

The fourth proportional to 469,323.87, 647,756.24 and 278,442.51 is: 384,303.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,323.87 : 647,756.24 = 278,442.51 : x
  2. Step 2: Convert to fraction form
    469,323.87/647,756.24 = 278,442.51/x
  3. Step 3: Cross multiply
    469,323.87x = 647,756.24 × 278,442.51
  4. Step 4: Simplify right side
    469,323.87x = 180,362,871,941.55
  5. Step 5: Solve for x
    x = 180,362,871,941.55/469,323.87
  6. Step 6: Final answer
    x = 384,303.64

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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.