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Finding the Fourth Proportional to 378,602.80, 523,152.25 and 287,801.12

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Solution

The fourth proportional to 378,602.80, 523,152.25 and 287,801.12 is: 397,682.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,602.80 : 523,152.25 = 287,801.12 : x
  2. Step 2: Convert to fraction form
    378,602.80/523,152.25 = 287,801.12/x
  3. Step 3: Cross multiply
    378,602.80x = 523,152.25 × 287,801.12
  4. Step 4: Simplify right side
    378,602.80x = 150,563,803,186.33
  5. Step 5: Solve for x
    x = 150,563,803,186.33/378,602.80
  6. Step 6: Final answer
    x = 397,682.75

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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.