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Finding the Fourth Proportional to 1,402,508.96, 1,935,858.96 and 829,749.28

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Solution

The fourth proportional to 1,402,508.96, 1,935,858.96 and 829,749.28 is: 1,145,288.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402,508.96 : 1,935,858.96 = 829,749.28 : x
  2. Step 2: Convert to fraction form
    1,402,508.96/1,935,858.96 = 829,749.28/x
  3. Step 3: Cross multiply
    1,402,508.96x = 1,935,858.96 × 829,749.28
  4. Step 4: Simplify right side
    1,402,508.96x = 1,606,277,578,241.55
  5. Step 5: Solve for x
    x = 1,606,277,578,241.55/1,402,508.96
  6. Step 6: Final answer
    x = 1,145,288.64

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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.