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Finding the Fourth Proportional to 465,730, 642,707.40 and 253,762

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Solution

The fourth proportional to 465,730, 642,707.40 and 253,762 is: 350,191.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,730 : 642,707.40 = 253,762 : x
  2. Step 2: Convert to fraction form
    465,730/642,707.40 = 253,762/x
  3. Step 3: Cross multiply
    465,730x = 642,707.40 × 253,762
  4. Step 4: Simplify right side
    465,730x = 163,094,715,238.80
  5. Step 5: Solve for x
    x = 163,094,715,238.80/465,730
  6. Step 6: Final answer
    x = 350,191.56

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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.