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Finding the Fourth Proportional to 355,605.48, 533,824.56 and 280,776.06

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Solution

The fourth proportional to 355,605.48, 533,824.56 and 280,776.06 is: 421,492.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,605.48 : 533,824.56 = 280,776.06 : x
  2. Step 2: Convert to fraction form
    355,605.48/533,824.56 = 280,776.06/x
  3. Step 3: Cross multiply
    355,605.48x = 533,824.56 × 280,776.06
  4. Step 4: Simplify right side
    355,605.48x = 149,885,156,688.03
  5. Step 5: Solve for x
    x = 149,885,156,688.03/355,605.48
  6. Step 6: Final answer
    x = 421,492.82

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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.