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Finding the Fourth Proportional to 461,057.70, 636,262.40 and 257,121.51

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Solution

The fourth proportional to 461,057.70, 636,262.40 and 257,121.51 is: 354,829.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,057.70 : 636,262.40 = 257,121.51 : x
  2. Step 2: Convert to fraction form
    461,057.70/636,262.40 = 257,121.51/x
  3. Step 3: Cross multiply
    461,057.70x = 636,262.40 × 257,121.51
  4. Step 4: Simplify right side
    461,057.70x = 163,596,748,722.82
  5. Step 5: Solve for x
    x = 163,596,748,722.82/461,057.70
  6. Step 6: Final answer
    x = 354,829.23

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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.