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Finding the Fourth Proportional to 1,618,102, 2,232,981.72 and 902,710

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Solution

The fourth proportional to 1,618,102, 2,232,981.72 and 902,710 is: 1,245,740.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618,102 : 2,232,981.72 = 902,710 : x
  2. Step 2: Convert to fraction form
    1,618,102/2,232,981.72 = 902,710/x
  3. Step 3: Cross multiply
    1,618,102x = 2,232,981.72 × 902,710
  4. Step 4: Simplify right side
    1,618,102x = 2,015,734,928,461.20
  5. Step 5: Solve for x
    x = 2,015,734,928,461.20/1,618,102
  6. Step 6: Final answer
    x = 1,245,740.34

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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.