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Finding the Fourth Proportional to 1,213,829.70, 1,820,744.55 and 835,916.10

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Solution

The fourth proportional to 1,213,829.70, 1,820,744.55 and 835,916.10 is: 1,253,874.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213,829.70 : 1,820,744.55 = 835,916.10 : x
  2. Step 2: Convert to fraction form
    1,213,829.70/1,820,744.55 = 835,916.10/x
  3. Step 3: Cross multiply
    1,213,829.70x = 1,820,744.55 × 835,916.10
  4. Step 4: Simplify right side
    1,213,829.70x = 1,521,989,683,332.26
  5. Step 5: Solve for x
    x = 1,521,989,683,332.26/1,213,829.70
  6. Step 6: Final answer
    x = 1,253,874.15

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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.