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Finding the Fourth Proportional to 518,650.12, 715,744.86 and 289,200.64

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Solution

The fourth proportional to 518,650.12, 715,744.86 and 289,200.64 is: 399,101.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,650.12 : 715,744.86 = 289,200.64 : x
  2. Step 2: Convert to fraction form
    518,650.12/715,744.86 = 289,200.64/x
  3. Step 3: Cross multiply
    518,650.12x = 715,744.86 × 289,200.64
  4. Step 4: Simplify right side
    518,650.12x = 206,993,871,588.71
  5. Step 5: Solve for x
    x = 206,993,871,588.71/518,650.12
  6. Step 6: Final answer
    x = 399,101.17

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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.