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Finding the Fourth Proportional to 465,582, 642,482.42 and 272,007.66

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Solution

The fourth proportional to 465,582, 642,482.42 and 272,007.66 is: 375,358.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,582 : 642,482.42 = 272,007.66 : x
  2. Step 2: Convert to fraction form
    465,582/642,482.42 = 272,007.66/x
  3. Step 3: Cross multiply
    465,582x = 642,482.42 × 272,007.66
  4. Step 4: Simplify right side
    465,582x = 174,760,139,655.34
  5. Step 5: Solve for x
    x = 174,760,139,655.34/465,582
  6. Step 6: Final answer
    x = 375,358.45

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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.