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Finding the Fourth Proportional to 1,378,301, 1,902,172.02 and 774,805.64

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Solution

The fourth proportional to 1,378,301, 1,902,172.02 and 774,805.64 is: 1,069,297.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378,301 : 1,902,172.02 = 774,805.64 : x
  2. Step 2: Convert to fraction form
    1,378,301/1,902,172.02 = 774,805.64/x
  3. Step 3: Cross multiply
    1,378,301x = 1,902,172.02 × 774,805.64
  4. Step 4: Simplify right side
    1,378,301x = 1,473,813,609,346.19
  5. Step 5: Solve for x
    x = 1,473,813,609,346.19/1,378,301
  6. Step 6: Final answer
    x = 1,069,297.35

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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.