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Finding the Fourth Proportional to 510,872.81, 705,004.21 and 296,137.31

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Solution

The fourth proportional to 510,872.81, 705,004.21 and 296,137.31 is: 408,669.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,872.81 : 705,004.21 = 296,137.31 : x
  2. Step 2: Convert to fraction form
    510,872.81/705,004.21 = 296,137.31/x
  3. Step 3: Cross multiply
    510,872.81x = 705,004.21 × 296,137.31
  4. Step 4: Simplify right side
    510,872.81x = 208,778,050,288.08
  5. Step 5: Solve for x
    x = 208,778,050,288.08/510,872.81
  6. Step 6: Final answer
    x = 408,669.33

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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.