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Finding the Fourth Proportional to 657,966.40, 987,410.40 and 421,883.20

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Solution

The fourth proportional to 657,966.40, 987,410.40 and 421,883.20 is: 633,120.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,966.40 : 987,410.40 = 421,883.20 : x
  2. Step 2: Convert to fraction form
    657,966.40/987,410.40 = 421,883.20/x
  3. Step 3: Cross multiply
    657,966.40x = 987,410.40 × 421,883.20
  4. Step 4: Simplify right side
    657,966.40x = 416,571,859,265.28
  5. Step 5: Solve for x
    x = 416,571,859,265.28/657,966.40
  6. Step 6: Final answer
    x = 633,120.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.