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Finding the Fourth Proportional to 713,708.40, 984,916.08 and 411,902.40

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Solution

The fourth proportional to 713,708.40, 984,916.08 and 411,902.40 is: 568,424.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,708.40 : 984,916.08 = 411,902.40 : x
  2. Step 2: Convert to fraction form
    713,708.40/984,916.08 = 411,902.40/x
  3. Step 3: Cross multiply
    713,708.40x = 984,916.08 × 411,902.40
  4. Step 4: Simplify right side
    713,708.40x = 405,689,297,150.59
  5. Step 5: Solve for x
    x = 405,689,297,150.59/713,708.40
  6. Step 6: Final answer
    x = 568,424.44

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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.