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Finding the Fourth Proportional to 465,700, 642,666 and 253,732

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Solution

The fourth proportional to 465,700, 642,666 and 253,732 is: 350,150.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,700 : 642,666 = 253,732 : x
  2. Step 2: Convert to fraction form
    465,700/642,666 = 253,732/x
  3. Step 3: Cross multiply
    465,700x = 642,666 × 253,732
  4. Step 4: Simplify right side
    465,700x = 163,064,929,512
  5. Step 5: Solve for x
    x = 163,064,929,512/465,700
  6. Step 6: Final answer
    x = 350,150.16

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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.