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Finding the Fourth Proportional to 3,107,825, 4,661,294.64 and 977,853.78

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Solution

The fourth proportional to 3,107,825, 4,661,294.64 and 977,853.78 is: 1,466,641.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107,825 : 4,661,294.64 = 977,853.78 : x
  2. Step 2: Convert to fraction form
    3,107,825/4,661,294.64 = 977,853.78/x
  3. Step 3: Cross multiply
    3,107,825x = 4,661,294.64 × 977,853.78
  4. Step 4: Simplify right side
    3,107,825x = 4,558,064,583,417.74
  5. Step 5: Solve for x
    x = 4,558,064,583,417.74/3,107,825
  6. Step 6: Final answer
    x = 1,466,641.33

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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.