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Finding the Fourth Proportional to 402,162.71, 554,845.64 and 257,053.37

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Solution

The fourth proportional to 402,162.71, 554,845.64 and 257,053.37 is: 354,644.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,162.71 : 554,845.64 = 257,053.37 : x
  2. Step 2: Convert to fraction form
    402,162.71/554,845.64 = 257,053.37/x
  3. Step 3: Cross multiply
    402,162.71x = 554,845.64 × 257,053.37
  4. Step 4: Simplify right side
    402,162.71x = 142,624,937,532.31
  5. Step 5: Solve for x
    x = 142,624,937,532.31/402,162.71
  6. Step 6: Final answer
    x = 354,644.86

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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.