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Finding the Fourth Proportional to 465,312.90, 642,531 and 450,266.34

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Solution

The fourth proportional to 465,312.90, 642,531 and 450,266.34 is: 621,753.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,312.90 : 642,531 = 450,266.34 : x
  2. Step 2: Convert to fraction form
    465,312.90/642,531 = 450,266.34/x
  3. Step 3: Cross multiply
    465,312.90x = 642,531 × 450,266.34
  4. Step 4: Simplify right side
    465,312.90x = 289,310,081,706.54
  5. Step 5: Solve for x
    x = 289,310,081,706.54/465,312.90
  6. Step 6: Final answer
    x = 621,753.84

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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.