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Finding the Fourth Proportional to 654,817.80, 903,772.64 and 409,916.40

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Solution

The fourth proportional to 654,817.80, 903,772.64 and 409,916.40 is: 565,762.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,817.80 : 903,772.64 = 409,916.40 : x
  2. Step 2: Convert to fraction form
    654,817.80/903,772.64 = 409,916.40/x
  3. Step 3: Cross multiply
    654,817.80x = 903,772.64 × 409,916.40
  4. Step 4: Simplify right side
    654,817.80x = 370,471,227,007.30
  5. Step 5: Solve for x
    x = 370,471,227,007.30/654,817.80
  6. Step 6: Final answer
    x = 565,762.30

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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.