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Finding the Fourth Proportional to 315,295.86, 435,108.30 and 202,118.64

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Solution

The fourth proportional to 315,295.86, 435,108.30 and 202,118.64 is: 278,923.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,295.86 : 435,108.30 = 202,118.64 : x
  2. Step 2: Convert to fraction form
    315,295.86/435,108.30 = 202,118.64/x
  3. Step 3: Cross multiply
    315,295.86x = 435,108.30 × 202,118.64
  4. Step 4: Simplify right side
    315,295.86x = 87,943,497,848.71
  5. Step 5: Solve for x
    x = 87,943,497,848.71/315,295.86
  6. Step 6: Final answer
    x = 278,923.73

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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.