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Finding the Fourth Proportional to 510,989.58, 705,166.32 and 278,415.36

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Solution

The fourth proportional to 510,989.58, 705,166.32 and 278,415.36 is: 384,213.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,989.58 : 705,166.32 = 278,415.36 : x
  2. Step 2: Convert to fraction form
    510,989.58/705,166.32 = 278,415.36/x
  3. Step 3: Cross multiply
    510,989.58x = 705,166.32 × 278,415.36
  4. Step 4: Simplify right side
    510,989.58x = 196,329,134,842.68
  5. Step 5: Solve for x
    x = 196,329,134,842.68/510,989.58
  6. Step 6: Final answer
    x = 384,213.58

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1.5x scale

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.