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Finding the Fourth Proportional to 557,925.84, 770,308.38 and 428,634

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Solution

The fourth proportional to 557,925.84, 770,308.38 and 428,634 is: 591,799.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,925.84 : 770,308.38 = 428,634 : x
  2. Step 2: Convert to fraction form
    557,925.84/770,308.38 = 428,634/x
  3. Step 3: Cross multiply
    557,925.84x = 770,308.38 × 428,634
  4. Step 4: Simplify right side
    557,925.84x = 330,180,362,152.92
  5. Step 5: Solve for x
    x = 330,180,362,152.92/557,925.84
  6. Step 6: Final answer
    x = 591,799.73

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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.