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Finding the Fourth Proportional to 860,131, 1,290,352.16 and 354,410.74

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Solution

The fourth proportional to 860,131, 1,290,352.16 and 354,410.74 is: 531,680.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    860,131 : 1,290,352.16 = 354,410.74 : x
  2. Step 2: Convert to fraction form
    860,131/1,290,352.16 = 354,410.74/x
  3. Step 3: Cross multiply
    860,131x = 1,290,352.16 × 354,410.74
  4. Step 4: Simplify right side
    860,131x = 457,314,663,886.20
  5. Step 5: Solve for x
    x = 457,314,663,886.20/860,131
  6. Step 6: Final answer
    x = 531,680.25

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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.