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Finding the Fourth Proportional to 1,364,694, 2,047,041 and 478,230

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Solution

The fourth proportional to 1,364,694, 2,047,041 and 478,230 is: 717,345

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364,694 : 2,047,041 = 478,230 : x
  2. Step 2: Convert to fraction form
    1,364,694/2,047,041 = 478,230/x
  3. Step 3: Cross multiply
    1,364,694x = 2,047,041 × 478,230
  4. Step 4: Simplify right side
    1,364,694x = 978,956,417,430
  5. Step 5: Solve for x
    x = 978,956,417,430/1,364,694
  6. Step 6: Final answer
    x = 717,345

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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.