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Finding the Fourth Proportional to 860,496, 1,290,744 and 409,850.88

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Solution

The fourth proportional to 860,496, 1,290,744 and 409,850.88 is: 614,776.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    860,496 : 1,290,744 = 409,850.88 : x
  2. Step 2: Convert to fraction form
    860,496/1,290,744 = 409,850.88/x
  3. Step 3: Cross multiply
    860,496x = 1,290,744 × 409,850.88
  4. Step 4: Simplify right side
    860,496x = 529,012,564,254.72
  5. Step 5: Solve for x
    x = 529,012,564,254.72/860,496
  6. Step 6: Final answer
    x = 614,776.32

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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.