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Finding the Fourth Proportional to 382,355.80, 572,367.30 and 340,365.40

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Solution

The fourth proportional to 382,355.80, 572,367.30 and 340,365.40 is: 509,509.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,355.80 : 572,367.30 = 340,365.40 : x
  2. Step 2: Convert to fraction form
    382,355.80/572,367.30 = 340,365.40/x
  3. Step 3: Cross multiply
    382,355.80x = 572,367.30 × 340,365.40
  4. Step 4: Simplify right side
    382,355.80x = 194,814,025,011.42
  5. Step 5: Solve for x
    x = 194,814,025,011.42/382,355.80
  6. Step 6: Final answer
    x = 509,509.79

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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.