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Finding the Fourth Proportional to 565,513.77, 780,409.85 and 310,866.51

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Solution

The fourth proportional to 565,513.77, 780,409.85 and 310,866.51 is: 428,996.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,513.77 : 780,409.85 = 310,866.51 : x
  2. Step 2: Convert to fraction form
    565,513.77/780,409.85 = 310,866.51/x
  3. Step 3: Cross multiply
    565,513.77x = 780,409.85 × 310,866.51
  4. Step 4: Simplify right side
    565,513.77x = 242,603,286,439.12
  5. Step 5: Solve for x
    x = 242,603,286,439.12/565,513.77
  6. Step 6: Final answer
    x = 428,996.25

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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.