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Finding the Fourth Proportional to 525,716.80, 787,408.80 and 210,011.20

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Solution

The fourth proportional to 525,716.80, 787,408.80 and 210,011.20 is: 314,550.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,716.80 : 787,408.80 = 210,011.20 : x
  2. Step 2: Convert to fraction form
    525,716.80/787,408.80 = 210,011.20/x
  3. Step 3: Cross multiply
    525,716.80x = 787,408.80 × 210,011.20
  4. Step 4: Simplify right side
    525,716.80x = 165,364,666,978.56
  5. Step 5: Solve for x
    x = 165,364,666,978.56/525,716.80
  6. Step 6: Final answer
    x = 314,550.85

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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.