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Finding the Fourth Proportional to 1,409,749.98, 1,945,402.81 and 765,156.34

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Solution

The fourth proportional to 1,409,749.98, 1,945,402.81 and 765,156.34 is: 1,055,887.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,749.98 : 1,945,402.81 = 765,156.34 : x
  2. Step 2: Convert to fraction form
    1,409,749.98/1,945,402.81 = 765,156.34/x
  3. Step 3: Cross multiply
    1,409,749.98x = 1,945,402.81 × 765,156.34
  4. Step 4: Simplify right side
    1,409,749.98x = 1,488,537,293,925.32
  5. Step 5: Solve for x
    x = 1,488,537,293,925.32/1,409,749.98
  6. Step 6: Final answer
    x = 1,055,887.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.