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Finding the Fourth Proportional to 313,790.76, 470,682.09 and 77,135.49

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Solution

The fourth proportional to 313,790.76, 470,682.09 and 77,135.49 is: 115,702.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,790.76 : 470,682.09 = 77,135.49 : x
  2. Step 2: Convert to fraction form
    313,790.76/470,682.09 = 77,135.49/x
  3. Step 3: Cross multiply
    313,790.76x = 470,682.09 × 77,135.49
  4. Step 4: Simplify right side
    313,790.76x = 36,306,293,646.37
  5. Step 5: Solve for x
    x = 36,306,293,646.37/313,790.76
  6. Step 6: Final answer
    x = 115,702.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.