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Finding the Fourth Proportional to 443,784, 612,421.92 and 242,580

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Solution

The fourth proportional to 443,784, 612,421.92 and 242,580 is: 334,760.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,784 : 612,421.92 = 242,580 : x
  2. Step 2: Convert to fraction form
    443,784/612,421.92 = 242,580/x
  3. Step 3: Cross multiply
    443,784x = 612,421.92 × 242,580
  4. Step 4: Simplify right side
    443,784x = 148,561,309,353.60
  5. Step 5: Solve for x
    x = 148,561,309,353.60/443,784
  6. Step 6: Final answer
    x = 334,760.40

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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.