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Finding the Fourth Proportional to 565,359.73, 780,378.23 and 361,958.47

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Solution

The fourth proportional to 565,359.73, 780,378.23 and 361,958.47 is: 499,619.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,359.73 : 780,378.23 = 361,958.47 : x
  2. Step 2: Convert to fraction form
    565,359.73/780,378.23 = 361,958.47/x
  3. Step 3: Cross multiply
    565,359.73x = 780,378.23 × 361,958.47
  4. Step 4: Simplify right side
    565,359.73x = 282,464,509,106.06
  5. Step 5: Solve for x
    x = 282,464,509,106.06/565,359.73
  6. Step 6: Final answer
    x = 499,619.08

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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.