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Finding the Fourth Proportional to 465,716, 642,688.08 and 253,748

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Solution

The fourth proportional to 465,716, 642,688.08 and 253,748 is: 350,172.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,716 : 642,688.08 = 253,748 : x
  2. Step 2: Convert to fraction form
    465,716/642,688.08 = 253,748/x
  3. Step 3: Cross multiply
    465,716x = 642,688.08 × 253,748
  4. Step 4: Simplify right side
    465,716x = 163,080,814,923.84
  5. Step 5: Solve for x
    x = 163,080,814,923.84/465,716
  6. Step 6: Final answer
    x = 350,172.24

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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.