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Finding the Fourth Proportional to 378,655.68, 522,536.40 and 208,889.76

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Solution

The fourth proportional to 378,655.68, 522,536.40 and 208,889.76 is: 288,263.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,655.68 : 522,536.40 = 208,889.76 : x
  2. Step 2: Convert to fraction form
    378,655.68/522,536.40 = 208,889.76/x
  3. Step 3: Cross multiply
    378,655.68x = 522,536.40 × 208,889.76
  4. Step 4: Simplify right side
    378,655.68x = 109,152,503,187.26
  5. Step 5: Solve for x
    x = 109,152,503,187.26/378,655.68
  6. Step 6: Final answer
    x = 288,263.21

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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.