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Finding the Fourth Proportional to 820,997.40, 1,132,995.64 and 458,409

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Solution

The fourth proportional to 820,997.40, 1,132,995.64 and 458,409 is: 632,615.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,997.40 : 1,132,995.64 = 458,409 : x
  2. Step 2: Convert to fraction form
    820,997.40/1,132,995.64 = 458,409/x
  3. Step 3: Cross multiply
    820,997.40x = 1,132,995.64 × 458,409
  4. Step 4: Simplify right side
    820,997.40x = 519,375,398,336.76
  5. Step 5: Solve for x
    x = 519,375,398,336.76/820,997.40
  6. Step 6: Final answer
    x = 632,615.16

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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.