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Finding the Fourth Proportional to 384,984.80, 576,383.70 and 364,038.20

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Solution

The fourth proportional to 384,984.80, 576,383.70 and 364,038.20 is: 545,023.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,984.80 : 576,383.70 = 364,038.20 : x
  2. Step 2: Convert to fraction form
    384,984.80/576,383.70 = 364,038.20/x
  3. Step 3: Cross multiply
    384,984.80x = 576,383.70 × 364,038.20
  4. Step 4: Simplify right side
    384,984.80x = 209,825,684,657.34
  5. Step 5: Solve for x
    x = 209,825,684,657.34/384,984.80
  6. Step 6: Final answer
    x = 545,023.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.