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Finding the Fourth Proportional to 565,918.36, 780,967.74 and 311,288.92

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Solution

The fourth proportional to 565,918.36, 780,967.74 and 311,288.92 is: 429,578.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,918.36 : 780,967.74 = 311,288.92 : x
  2. Step 2: Convert to fraction form
    565,918.36/780,967.74 = 311,288.92/x
  3. Step 3: Cross multiply
    565,918.36x = 780,967.74 × 311,288.92
  4. Step 4: Simplify right side
    565,918.36x = 243,106,604,339.44
  5. Step 5: Solve for x
    x = 243,106,604,339.44/565,918.36
  6. Step 6: Final answer
    x = 429,578.93

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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.