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Finding the Fourth Proportional to 525,886.80, 788,830.20 and 326,821.20

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Solution

The fourth proportional to 525,886.80, 788,830.20 and 326,821.20 is: 490,231.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,886.80 : 788,830.20 = 326,821.20 : x
  2. Step 2: Convert to fraction form
    525,886.80/788,830.20 = 326,821.20/x
  3. Step 3: Cross multiply
    525,886.80x = 788,830.20 × 326,821.20
  4. Step 4: Simplify right side
    525,886.80x = 257,806,432,560.24
  5. Step 5: Solve for x
    x = 257,806,432,560.24/525,886.80
  6. Step 6: Final answer
    x = 490,231.80

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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.