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Finding the Fourth Proportional to 565,208.98, 780,002.45 and 307,086.01

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Solution

The fourth proportional to 565,208.98, 780,002.45 and 307,086.01 is: 423,786.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,208.98 : 780,002.45 = 307,086.01 : x
  2. Step 2: Convert to fraction form
    565,208.98/780,002.45 = 307,086.01/x
  3. Step 3: Cross multiply
    565,208.98x = 780,002.45 × 307,086.01
  4. Step 4: Simplify right side
    565,208.98x = 239,527,840,160.73
  5. Step 5: Solve for x
    x = 239,527,840,160.73/565,208.98
  6. Step 6: Final answer
    x = 423,786.33

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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.