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Finding the Fourth Proportional to 514,155.43, 709,450 and 323,033.50

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Solution

The fourth proportional to 514,155.43, 709,450 and 323,033.50 is: 445,733.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,155.43 : 709,450 = 323,033.50 : x
  2. Step 2: Convert to fraction form
    514,155.43/709,450 = 323,033.50/x
  3. Step 3: Cross multiply
    514,155.43x = 709,450 × 323,033.50
  4. Step 4: Simplify right side
    514,155.43x = 229,176,116,575
  5. Step 5: Solve for x
    x = 229,176,116,575/514,155.43
  6. Step 6: Final answer
    x = 445,733.14

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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.