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Finding the Fourth Proportional to 741,573, 1,023,342.76 and 419,290

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Solution

The fourth proportional to 741,573, 1,023,342.76 and 419,290 is: 578,604.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,573 : 1,023,342.76 = 419,290 : x
  2. Step 2: Convert to fraction form
    741,573/1,023,342.76 = 419,290/x
  3. Step 3: Cross multiply
    741,573x = 1,023,342.76 × 419,290
  4. Step 4: Simplify right side
    741,573x = 429,077,385,840.40
  5. Step 5: Solve for x
    x = 429,077,385,840.40/741,573
  6. Step 6: Final answer
    x = 578,604.38

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1.5x scale

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.