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Finding the Fourth Proportional to 510,930.12, 705,083.76 and 296,194.67

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Solution

The fourth proportional to 510,930.12, 705,083.76 and 296,194.67 is: 408,748.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,930.12 : 705,083.76 = 296,194.67 : x
  2. Step 2: Convert to fraction form
    510,930.12/705,083.76 = 296,194.67/x
  3. Step 3: Cross multiply
    510,930.12x = 705,083.76 × 296,194.67
  4. Step 4: Simplify right side
    510,930.12x = 208,842,048,090.14
  5. Step 5: Solve for x
    x = 208,842,048,090.14/510,930.12
  6. Step 6: Final answer
    x = 408,748.75

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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.