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Finding the Fourth Proportional to 608,429.10, 913,201.65 and 309,117.90

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Solution

The fourth proportional to 608,429.10, 913,201.65 and 309,117.90 is: 463,960.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,429.10 : 913,201.65 = 309,117.90 : x
  2. Step 2: Convert to fraction form
    608,429.10/913,201.65 = 309,117.90/x
  3. Step 3: Cross multiply
    608,429.10x = 913,201.65 × 309,117.90
  4. Step 4: Simplify right side
    608,429.10x = 282,286,976,324.54
  5. Step 5: Solve for x
    x = 282,286,976,324.54/608,429.10
  6. Step 6: Final answer
    x = 463,960.35

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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.