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Finding the Fourth Proportional to 378,985.84, 522,986.64 and 209,216.32

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Solution

The fourth proportional to 378,985.84, 522,986.64 and 209,216.32 is: 288,710.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,985.84 : 522,986.64 = 209,216.32 : x
  2. Step 2: Convert to fraction form
    378,985.84/522,986.64 = 209,216.32/x
  3. Step 3: Cross multiply
    378,985.84x = 522,986.64 × 209,216.32
  4. Step 4: Simplify right side
    378,985.84x = 109,417,340,229.97
  5. Step 5: Solve for x
    x = 109,417,340,229.97/378,985.84
  6. Step 6: Final answer
    x = 288,710.89

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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.