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Finding the Fourth Proportional to 213,686.48, 320,411.44 and 87,415.46

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Solution

The fourth proportional to 213,686.48, 320,411.44 and 87,415.46 is: 131,074.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,686.48 : 320,411.44 = 87,415.46 : x
  2. Step 2: Convert to fraction form
    213,686.48/320,411.44 = 87,415.46/x
  3. Step 3: Cross multiply
    213,686.48x = 320,411.44 × 87,415.46
  4. Step 4: Simplify right side
    213,686.48x = 28,008,913,416.86
  5. Step 5: Solve for x
    x = 28,008,913,416.86/213,686.48
  6. Step 6: Final answer
    x = 131,074.80

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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.