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Finding the Fourth Proportional to 525,224, 724,809.12 and 286,760

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Solution

The fourth proportional to 525,224, 724,809.12 and 286,760 is: 395,728.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,224 : 724,809.12 = 286,760 : x
  2. Step 2: Convert to fraction form
    525,224/724,809.12 = 286,760/x
  3. Step 3: Cross multiply
    525,224x = 724,809.12 × 286,760
  4. Step 4: Simplify right side
    525,224x = 207,846,263,251.20
  5. Step 5: Solve for x
    x = 207,846,263,251.20/525,224
  6. Step 6: Final answer
    x = 395,728.80

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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.