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Finding the Fourth Proportional to 525,081.40, 787,103.70 and 258,623.80

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Solution

The fourth proportional to 525,081.40, 787,103.70 and 258,623.80 is: 387,680.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,081.40 : 787,103.70 = 258,623.80 : x
  2. Step 2: Convert to fraction form
    525,081.40/787,103.70 = 258,623.80/x
  3. Step 3: Cross multiply
    525,081.40x = 787,103.70 × 258,623.80
  4. Step 4: Simplify right side
    525,081.40x = 203,563,749,888.06
  5. Step 5: Solve for x
    x = 203,563,749,888.06/525,081.40
  6. Step 6: Final answer
    x = 387,680.37

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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.