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Finding the Fourth Proportional to 828,857.56, 1,243,680 and 429,423.88

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Solution

The fourth proportional to 828,857.56, 1,243,680 and 429,423.88 is: 644,339.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,857.56 : 1,243,680 = 429,423.88 : x
  2. Step 2: Convert to fraction form
    828,857.56/1,243,680 = 429,423.88/x
  3. Step 3: Cross multiply
    828,857.56x = 1,243,680 × 429,423.88
  4. Step 4: Simplify right side
    828,857.56x = 534,065,891,078.40
  5. Step 5: Solve for x
    x = 534,065,891,078.40/828,857.56
  6. Step 6: Final answer
    x = 644,339.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.