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Finding the Fourth Proportional to 518,895.63, 716,048.64 and 289,476.90

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Solution

The fourth proportional to 518,895.63, 716,048.64 and 289,476.90 is: 399,462.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,895.63 : 716,048.64 = 289,476.90 : x
  2. Step 2: Convert to fraction form
    518,895.63/716,048.64 = 289,476.90/x
  3. Step 3: Cross multiply
    518,895.63x = 716,048.64 × 289,476.90
  4. Step 4: Simplify right side
    518,895.63x = 207,279,540,556.42
  5. Step 5: Solve for x
    x = 207,279,540,556.42/518,895.63
  6. Step 6: Final answer
    x = 399,462.88

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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.