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Finding the Fourth Proportional to 379,421.79, 523,598.36 and 209,652.27

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Solution

The fourth proportional to 379,421.79, 523,598.36 and 209,652.27 is: 289,318.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,421.79 : 523,598.36 = 209,652.27 : x
  2. Step 2: Convert to fraction form
    379,421.79/523,598.36 = 209,652.27/x
  3. Step 3: Cross multiply
    379,421.79x = 523,598.36 × 209,652.27
  4. Step 4: Simplify right side
    379,421.79x = 109,773,583,694.02
  5. Step 5: Solve for x
    x = 109,773,583,694.02/379,421.79
  6. Step 6: Final answer
    x = 289,318.08

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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.