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Finding the Fourth Proportional to 859,935, 1,186,730.46 and 477,977.88

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Solution

The fourth proportional to 859,935, 1,186,730.46 and 477,977.88 is: 659,620.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,935 : 1,186,730.46 = 477,977.88 : x
  2. Step 2: Convert to fraction form
    859,935/1,186,730.46 = 477,977.88/x
  3. Step 3: Cross multiply
    859,935x = 1,186,730.46 × 477,977.88
  4. Step 4: Simplify right side
    859,935x = 567,230,909,402.23
  5. Step 5: Solve for x
    x = 567,230,909,402.23/859,935
  6. Step 6: Final answer
    x = 659,620.68

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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.