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Finding the Fourth Proportional to 285,461.48, 427,900.62 and 185,821.76

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Solution

The fourth proportional to 285,461.48, 427,900.62 and 185,821.76 is: 278,542.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,461.48 : 427,900.62 = 185,821.76 : x
  2. Step 2: Convert to fraction form
    285,461.48/427,900.62 = 185,821.76/x
  3. Step 3: Cross multiply
    285,461.48x = 427,900.62 × 185,821.76
  4. Step 4: Simplify right side
    285,461.48x = 79,513,246,313.49
  5. Step 5: Solve for x
    x = 79,513,246,313.49/285,461.48
  6. Step 6: Final answer
    x = 278,542.82

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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.