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Finding the Fourth Proportional to 428,859.80, 643,289.70 and 192,663.80

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Solution

The fourth proportional to 428,859.80, 643,289.70 and 192,663.80 is: 288,995.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,859.80 : 643,289.70 = 192,663.80 : x
  2. Step 2: Convert to fraction form
    428,859.80/643,289.70 = 192,663.80/x
  3. Step 3: Cross multiply
    428,859.80x = 643,289.70 × 192,663.80
  4. Step 4: Simplify right side
    428,859.80x = 123,938,638,102.86
  5. Step 5: Solve for x
    x = 123,938,638,102.86/428,859.80
  6. Step 6: Final answer
    x = 288,995.70

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1.5x scale

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.