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Finding the Fourth Proportional to 638,328.70, 880,734.63 and 411,701.50

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Solution

The fourth proportional to 638,328.70, 880,734.63 and 411,701.50 is: 568,045.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,328.70 : 880,734.63 = 411,701.50 : x
  2. Step 2: Convert to fraction form
    638,328.70/880,734.63 = 411,701.50/x
  3. Step 3: Cross multiply
    638,328.70x = 880,734.63 × 411,701.50
  4. Step 4: Simplify right side
    638,328.70x = 362,599,768,272.95
  5. Step 5: Solve for x
    x = 362,599,768,272.95/638,328.70
  6. Step 6: Final answer
    x = 568,045.54

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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.