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Finding the Fourth Proportional to 519,107.16, 716,318.10 and 315,269.64

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Solution

The fourth proportional to 519,107.16, 716,318.10 and 315,269.64 is: 435,041.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,107.16 : 716,318.10 = 315,269.64 : x
  2. Step 2: Convert to fraction form
    519,107.16/716,318.10 = 315,269.64/x
  3. Step 3: Cross multiply
    519,107.16x = 716,318.10 × 315,269.64
  4. Step 4: Simplify right side
    519,107.16x = 225,833,349,512.48
  5. Step 5: Solve for x
    x = 225,833,349,512.48/519,107.16
  6. Step 6: Final answer
    x = 435,041.87

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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.