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Finding the Fourth Proportional to 382,353.81, 527,661.80 and 210,285.08

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Solution

The fourth proportional to 382,353.81, 527,661.80 and 210,285.08 is: 290,200.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,353.81 : 527,661.80 = 210,285.08 : x
  2. Step 2: Convert to fraction form
    382,353.81/527,661.80 = 210,285.08/x
  3. Step 3: Cross multiply
    382,353.81x = 527,661.80 × 210,285.08
  4. Step 4: Simplify right side
    382,353.81x = 110,959,403,825.94
  5. Step 5: Solve for x
    x = 110,959,403,825.94/382,353.81
  6. Step 6: Final answer
    x = 290,200.86

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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.