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Finding the Fourth Proportional to 519,268.16, 716,589.76 and 280,804.16

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Solution

The fourth proportional to 519,268.16, 716,589.76 and 280,804.16 is: 387,509.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,268.16 : 716,589.76 = 280,804.16 : x
  2. Step 2: Convert to fraction form
    519,268.16/716,589.76 = 280,804.16/x
  3. Step 3: Cross multiply
    519,268.16x = 716,589.76 × 280,804.16
  4. Step 4: Simplify right side
    519,268.16x = 201,221,385,621.40
  5. Step 5: Solve for x
    x = 201,221,385,621.40/519,268.16
  6. Step 6: Final answer
    x = 387,509.58

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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.