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Finding the Fourth Proportional to 380,000.72, 524,398.80 and 210,231.20

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Solution

The fourth proportional to 380,000.72, 524,398.80 and 210,231.20 is: 290,117.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,000.72 : 524,398.80 = 210,231.20 : x
  2. Step 2: Convert to fraction form
    380,000.72/524,398.80 = 210,231.20/x
  3. Step 3: Cross multiply
    380,000.72x = 524,398.80 × 210,231.20
  4. Step 4: Simplify right side
    380,000.72x = 110,244,989,002.56
  5. Step 5: Solve for x
    x = 110,244,989,002.56/380,000.72
  6. Step 6: Final answer
    x = 290,117.84

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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.