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Finding the Fourth Proportional to 741,521, 1,023,292.90 and 401,980.52

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Solution

The fourth proportional to 741,521, 1,023,292.90 and 401,980.52 is: 554,729.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,521 : 1,023,292.90 = 401,980.52 : x
  2. Step 2: Convert to fraction form
    741,521/1,023,292.90 = 401,980.52/x
  3. Step 3: Cross multiply
    741,521x = 1,023,292.90 × 401,980.52
  4. Step 4: Simplify right side
    741,521x = 411,343,812,054.31
  5. Step 5: Solve for x
    x = 411,343,812,054.31/741,521
  6. Step 6: Final answer
    x = 554,729.82

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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.