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Finding the Fourth Proportional to 382,407.67, 527,735.37 and 210,332.89

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Solution

The fourth proportional to 382,407.67, 527,735.37 and 210,332.89 is: 290,266.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,407.67 : 527,735.37 = 210,332.89 : x
  2. Step 2: Convert to fraction form
    382,407.67/527,735.37 = 210,332.89/x
  3. Step 3: Cross multiply
    382,407.67x = 527,735.37 × 210,332.89
  4. Step 4: Simplify right side
    382,407.67x = 111,000,105,527.32
  5. Step 5: Solve for x
    x = 111,000,105,527.32/382,407.67
  6. Step 6: Final answer
    x = 290,266.42

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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.