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Finding the Fourth Proportional to 719,232, 1,078,899.84 and 276,000

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Solution

The fourth proportional to 719,232, 1,078,899.84 and 276,000 is: 414,019.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,232 : 1,078,899.84 = 276,000 : x
  2. Step 2: Convert to fraction form
    719,232/1,078,899.84 = 276,000/x
  3. Step 3: Cross multiply
    719,232x = 1,078,899.84 × 276,000
  4. Step 4: Simplify right side
    719,232x = 297,776,355,840
  5. Step 5: Solve for x
    x = 297,776,355,840/719,232
  6. Step 6: Final answer
    x = 414,019.89

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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.