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Finding the Fourth Proportional to 835,783, 1,153,380.54 and 478,087

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Solution

The fourth proportional to 835,783, 1,153,380.54 and 478,087 is: 659,760.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,783 : 1,153,380.54 = 478,087 : x
  2. Step 2: Convert to fraction form
    835,783/1,153,380.54 = 478,087/x
  3. Step 3: Cross multiply
    835,783x = 1,153,380.54 × 478,087
  4. Step 4: Simplify right side
    835,783x = 551,416,242,226.98
  5. Step 5: Solve for x
    x = 551,416,242,226.98/835,783
  6. Step 6: Final answer
    x = 659,760.06

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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.