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Finding the Fourth Proportional to 708,879.87, 978,273.63 and 433,282.32

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Solution

The fourth proportional to 708,879.87, 978,273.63 and 433,282.32 is: 597,941.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,879.87 : 978,273.63 = 433,282.32 : x
  2. Step 2: Convert to fraction form
    708,879.87/978,273.63 = 433,282.32/x
  3. Step 3: Cross multiply
    708,879.87x = 978,273.63 × 433,282.32
  4. Step 4: Simplify right side
    708,879.87x = 423,868,668,001.22
  5. Step 5: Solve for x
    x = 423,868,668,001.22/708,879.87
  6. Step 6: Final answer
    x = 597,941.47

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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.