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Finding the Fourth Proportional to 1,380,447.60, 1,905,013.80 and 776,835.60

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Solution

The fourth proportional to 1,380,447.60, 1,905,013.80 and 776,835.60 is: 1,072,030.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380,447.60 : 1,905,013.80 = 776,835.60 : x
  2. Step 2: Convert to fraction form
    1,380,447.60/1,905,013.80 = 776,835.60/x
  3. Step 3: Cross multiply
    1,380,447.60x = 1,905,013.80 × 776,835.60
  4. Step 4: Simplify right side
    1,380,447.60x = 1,479,882,538,331.28
  5. Step 5: Solve for x
    x = 1,479,882,538,331.28/1,380,447.60
  6. Step 6: Final answer
    x = 1,072,030.94

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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.