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Finding the Fourth Proportional to 465,449.38, 642,328.64 and 258,737.18

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Solution

The fourth proportional to 465,449.38, 642,328.64 and 258,737.18 is: 357,062.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,449.38 : 642,328.64 = 258,737.18 : x
  2. Step 2: Convert to fraction form
    465,449.38/642,328.64 = 258,737.18/x
  3. Step 3: Cross multiply
    465,449.38x = 642,328.64 × 258,737.18
  4. Step 4: Simplify right side
    465,449.38x = 166,194,300,946.84
  5. Step 5: Solve for x
    x = 166,194,300,946.84/465,449.38
  6. Step 6: Final answer
    x = 357,062.03

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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.