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Finding the Fourth Proportional to 509,850.88, 703,598.72 and 283,505.92

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Solution

The fourth proportional to 509,850.88, 703,598.72 and 283,505.92 is: 391,240.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,850.88 : 703,598.72 = 283,505.92 : x
  2. Step 2: Convert to fraction form
    509,850.88/703,598.72 = 283,505.92/x
  3. Step 3: Cross multiply
    509,850.88x = 703,598.72 × 283,505.92
  4. Step 4: Simplify right side
    509,850.88x = 199,474,402,424.42
  5. Step 5: Solve for x
    x = 199,474,402,424.42/509,850.88
  6. Step 6: Final answer
    x = 391,240.67

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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.