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Finding the Fourth Proportional to 469,289.64, 647,571.20 and 288,009.20

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Solution

The fourth proportional to 469,289.64, 647,571.20 and 288,009.20 is: 397,422.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,289.64 : 647,571.20 = 288,009.20 : x
  2. Step 2: Convert to fraction form
    469,289.64/647,571.20 = 288,009.20/x
  3. Step 3: Cross multiply
    469,289.64x = 647,571.20 × 288,009.20
  4. Step 4: Simplify right side
    469,289.64x = 186,506,463,255.04
  5. Step 5: Solve for x
    x = 186,506,463,255.04/469,289.64
  6. Step 6: Final answer
    x = 397,422.93

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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.