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Finding the Fourth Proportional to 509,764.84, 703,486.87 and 280,307.54

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Solution

The fourth proportional to 509,764.84, 703,486.87 and 280,307.54 is: 386,830.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,764.84 : 703,486.87 = 280,307.54 : x
  2. Step 2: Convert to fraction form
    509,764.84/703,486.87 = 280,307.54/x
  3. Step 3: Cross multiply
    509,764.84x = 703,486.87 × 280,307.54
  4. Step 4: Simplify right side
    509,764.84x = 197,192,675,009.95
  5. Step 5: Solve for x
    x = 197,192,675,009.95/509,764.84
  6. Step 6: Final answer
    x = 386,830.67

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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.