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Finding the Fourth Proportional to 514,491.68, 709,981.92 and 285,039.52

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Solution

The fourth proportional to 514,491.68, 709,981.92 and 285,039.52 is: 393,345.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,491.68 : 709,981.92 = 285,039.52 : x
  2. Step 2: Convert to fraction form
    514,491.68/709,981.92 = 285,039.52/x
  3. Step 3: Cross multiply
    514,491.68x = 709,981.92 × 285,039.52
  4. Step 4: Simplify right side
    514,491.68x = 202,372,905,685.48
  5. Step 5: Solve for x
    x = 202,372,905,685.48/514,491.68
  6. Step 6: Final answer
    x = 393,345.34

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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.