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Finding the Fourth Proportional to 378,666.94, 522,560.34 and 208,901.06

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Solution

The fourth proportional to 378,666.94, 522,560.34 and 208,901.06 is: 288,283.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,666.94 : 522,560.34 = 208,901.06 : x
  2. Step 2: Convert to fraction form
    378,666.94/522,560.34 = 208,901.06/x
  3. Step 3: Cross multiply
    378,666.94x = 522,560.34 × 208,901.06
  4. Step 4: Simplify right side
    378,666.94x = 109,163,408,939.96
  5. Step 5: Solve for x
    x = 109,163,408,939.96/378,666.94
  6. Step 6: Final answer
    x = 288,283.44

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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.