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Finding the Fourth Proportional to 824,894, 1,237,534.32 and 256,245.92

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Solution

The fourth proportional to 824,894, 1,237,534.32 and 256,245.92 is: 384,428.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,894 : 1,237,534.32 = 256,245.92 : x
  2. Step 2: Convert to fraction form
    824,894/1,237,534.32 = 256,245.92/x
  3. Step 3: Cross multiply
    824,894x = 1,237,534.32 × 256,245.92
  4. Step 4: Simplify right side
    824,894x = 317,113,120,359.97
  5. Step 5: Solve for x
    x = 317,113,120,359.97/824,894
  6. Step 6: Final answer
    x = 384,428.93

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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.