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Finding the Fourth Proportional to 847,638, 1,169,740.91 and 465,689.39

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Solution

The fourth proportional to 847,638, 1,169,740.91 and 465,689.39 is: 642,651.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,638 : 1,169,740.91 = 465,689.39 : x
  2. Step 2: Convert to fraction form
    847,638/1,169,740.91 = 465,689.39/x
  3. Step 3: Cross multiply
    847,638x = 1,169,740.91 × 465,689.39
  4. Step 4: Simplify right side
    847,638x = 544,735,926,151.46
  5. Step 5: Solve for x
    x = 544,735,926,151.46/847,638
  6. Step 6: Final answer
    x = 642,651.61

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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.