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Finding the Fourth Proportional to 523,102.68, 783,663.66 and 309,230.28

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Solution

The fourth proportional to 523,102.68, 783,663.66 and 309,230.28 is: 463,259.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,102.68 : 783,663.66 = 309,230.28 : x
  2. Step 2: Convert to fraction form
    523,102.68/783,663.66 = 309,230.28/x
  3. Step 3: Cross multiply
    523,102.68x = 783,663.66 × 309,230.28
  4. Step 4: Simplify right side
    523,102.68x = 242,332,533,007.63
  5. Step 5: Solve for x
    x = 242,332,533,007.63/523,102.68
  6. Step 6: Final answer
    x = 463,259.97

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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.