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Finding the Fourth Proportional to 411,920.57, 617,491.27 and 310,561.35

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Solution

The fourth proportional to 411,920.57, 617,491.27 and 310,561.35 is: 465,548.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,920.57 : 617,491.27 = 310,561.35 : x
  2. Step 2: Convert to fraction form
    411,920.57/617,491.27 = 310,561.35/x
  3. Step 3: Cross multiply
    411,920.57x = 617,491.27 × 310,561.35
  4. Step 4: Simplify right side
    411,920.57x = 191,768,920,871.61
  5. Step 5: Solve for x
    x = 191,768,920,871.61/411,920.57
  6. Step 6: Final answer
    x = 465,548.31

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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.