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Finding the Fourth Proportional to 509,954.72, 763,045.29 and 307,668.15

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Solution

The fourth proportional to 509,954.72, 763,045.29 and 307,668.15 is: 460,363.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,954.72 : 763,045.29 = 307,668.15 : x
  2. Step 2: Convert to fraction form
    509,954.72/763,045.29 = 307,668.15/x
  3. Step 3: Cross multiply
    509,954.72x = 763,045.29 × 307,668.15
  4. Step 4: Simplify right side
    509,954.72x = 234,764,732,740.51
  5. Step 5: Solve for x
    x = 234,764,732,740.51/509,954.72
  6. Step 6: Final answer
    x = 460,363.88

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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.