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Finding the Fourth Proportional to 509,954.59, 763,045.10 and 307,668.03

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Solution

The fourth proportional to 509,954.59, 763,045.10 and 307,668.03 is: 460,363.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,954.59 : 763,045.10 = 307,668.03 : x
  2. Step 2: Convert to fraction form
    509,954.59/763,045.10 = 307,668.03/x
  3. Step 3: Cross multiply
    509,954.59x = 763,045.10 × 307,668.03
  4. Step 4: Simplify right side
    509,954.59x = 234,764,582,718.15
  5. Step 5: Solve for x
    x = 234,764,582,718.15/509,954.59
  6. Step 6: Final answer
    x = 460,363.70

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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.