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Finding the Fourth Proportional to 516,072.86, 712,156.32 and 286,645.02

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Solution

The fourth proportional to 516,072.86, 712,156.32 and 286,645.02 is: 395,556.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,072.86 : 712,156.32 = 286,645.02 : x
  2. Step 2: Convert to fraction form
    516,072.86/712,156.32 = 286,645.02/x
  3. Step 3: Cross multiply
    516,072.86x = 712,156.32 × 286,645.02
  4. Step 4: Simplify right side
    516,072.86x = 204,136,062,589.53
  5. Step 5: Solve for x
    x = 204,136,062,589.53/516,072.86
  6. Step 6: Final answer
    x = 395,556.67

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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.