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Finding the Fourth Proportional to 1,411,986.72, 1,948,554.48 and 767,408.46

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Solution

The fourth proportional to 1,411,986.72, 1,948,554.48 and 767,408.46 is: 1,059,030.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,986.72 : 1,948,554.48 = 767,408.46 : x
  2. Step 2: Convert to fraction form
    1,411,986.72/1,948,554.48 = 767,408.46/x
  3. Step 3: Cross multiply
    1,411,986.72x = 1,948,554.48 × 767,408.46
  4. Step 4: Simplify right side
    1,411,986.72x = 1,495,337,192,722.90
  5. Step 5: Solve for x
    x = 1,495,337,192,722.90/1,411,986.72
  6. Step 6: Final answer
    x = 1,059,030.64

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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.