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Finding the Fourth Proportional to 509,004.96, 702,491.28 and 307,800.48

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Solution

The fourth proportional to 509,004.96, 702,491.28 and 307,800.48 is: 424,803.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,004.96 : 702,491.28 = 307,800.48 : x
  2. Step 2: Convert to fraction form
    509,004.96/702,491.28 = 307,800.48/x
  3. Step 3: Cross multiply
    509,004.96x = 702,491.28 × 307,800.48
  4. Step 4: Simplify right side
    509,004.96x = 216,227,153,179.81
  5. Step 5: Solve for x
    x = 216,227,153,179.81/509,004.96
  6. Step 6: Final answer
    x = 424,803.63

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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.