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Finding the Fourth Proportional to 756,951, 1,135,426.68 and 307,916.16

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Solution

The fourth proportional to 756,951, 1,135,426.68 and 307,916.16 is: 461,874.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,951 : 1,135,426.68 = 307,916.16 : x
  2. Step 2: Convert to fraction form
    756,951/1,135,426.68 = 307,916.16/x
  3. Step 3: Cross multiply
    756,951x = 1,135,426.68 × 307,916.16
  4. Step 4: Simplify right side
    756,951x = 349,616,223,267.15
  5. Step 5: Solve for x
    x = 349,616,223,267.15/756,951
  6. Step 6: Final answer
    x = 461,874.31

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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.