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Finding the Fourth Proportional to 557,927.84, 770,311.14 and 428,636

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Solution

The fourth proportional to 557,927.84, 770,311.14 and 428,636 is: 591,802.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,927.84 : 770,311.14 = 428,636 : x
  2. Step 2: Convert to fraction form
    557,927.84/770,311.14 = 428,636/x
  3. Step 3: Cross multiply
    557,927.84x = 770,311.14 × 428,636
  4. Step 4: Simplify right side
    557,927.84x = 330,183,085,805.04
  5. Step 5: Solve for x
    x = 330,183,085,805.04/557,927.84
  6. Step 6: Final answer
    x = 591,802.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.