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Finding the Fourth Proportional to 525,230.40, 787,327.20 and 258,772.80

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Solution

The fourth proportional to 525,230.40, 787,327.20 and 258,772.80 is: 387,903.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,230.40 : 787,327.20 = 258,772.80 : x
  2. Step 2: Convert to fraction form
    525,230.40/787,327.20 = 258,772.80/x
  3. Step 3: Cross multiply
    525,230.40x = 787,327.20 × 258,772.80
  4. Step 4: Simplify right side
    525,230.40x = 203,738,864,060.16
  5. Step 5: Solve for x
    x = 203,738,864,060.16/525,230.40
  6. Step 6: Final answer
    x = 387,903.79

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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.