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Finding the Fourth Proportional to 465,638.40, 642,355.20 and 314,726.40

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Solution

The fourth proportional to 465,638.40, 642,355.20 and 314,726.40 is: 434,169.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,638.40 : 642,355.20 = 314,726.40 : x
  2. Step 2: Convert to fraction form
    465,638.40/642,355.20 = 314,726.40/x
  3. Step 3: Cross multiply
    465,638.40x = 642,355.20 × 314,726.40
  4. Step 4: Simplify right side
    465,638.40x = 202,166,139,617.28
  5. Step 5: Solve for x
    x = 202,166,139,617.28/465,638.40
  6. Step 6: Final answer
    x = 434,169.82

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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.