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Finding the Fourth Proportional to 1,296,422.61, 1,788,849.21 and 723,461.40

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Solution

The fourth proportional to 1,296,422.61, 1,788,849.21 and 723,461.40 is: 998,257.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296,422.61 : 1,788,849.21 = 723,461.40 : x
  2. Step 2: Convert to fraction form
    1,296,422.61/1,788,849.21 = 723,461.40/x
  3. Step 3: Cross multiply
    1,296,422.61x = 1,788,849.21 × 723,461.40
  4. Step 4: Simplify right side
    1,296,422.61x = 1,294,163,353,855.49
  5. Step 5: Solve for x
    x = 1,294,163,353,855.49/1,296,422.61
  6. Step 6: Final answer
    x = 998,257.32

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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.