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Finding the Fourth Proportional to 514,333.56, 709,790.96 and 307,815.44

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Solution

The fourth proportional to 514,333.56, 709,790.96 and 307,815.44 is: 424,791.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,333.56 : 709,790.96 = 307,815.44 : x
  2. Step 2: Convert to fraction form
    514,333.56/709,790.96 = 307,815.44/x
  3. Step 3: Cross multiply
    514,333.56x = 709,790.96 × 307,815.44
  4. Step 4: Simplify right side
    514,333.56x = 218,484,616,660.42
  5. Step 5: Solve for x
    x = 218,484,616,660.42/514,333.56
  6. Step 6: Final answer
    x = 424,791.68

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1.5x scale

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.