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Finding the Fourth Proportional to 719,220, 1,078,881.84 and 275,988

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Solution

The fourth proportional to 719,220, 1,078,881.84 and 275,988 is: 414,001.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,220 : 1,078,881.84 = 275,988 : x
  2. Step 2: Convert to fraction form
    719,220/1,078,881.84 = 275,988/x
  3. Step 3: Cross multiply
    719,220x = 1,078,881.84 × 275,988
  4. Step 4: Simplify right side
    719,220x = 297,758,441,257.92
  5. Step 5: Solve for x
    x = 297,758,441,257.92/719,220
  6. Step 6: Final answer
    x = 414,001.89

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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.