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Finding the Fourth Proportional to 402,127.22, 554,796.81 and 257,017.96

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Solution

The fourth proportional to 402,127.22, 554,796.81 and 257,017.96 is: 354,596.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,127.22 : 554,796.81 = 257,017.96 : x
  2. Step 2: Convert to fraction form
    402,127.22/554,796.81 = 257,017.96/x
  3. Step 3: Cross multiply
    402,127.22x = 554,796.81 × 257,017.96
  4. Step 4: Simplify right side
    402,127.22x = 142,592,744,320.71
  5. Step 5: Solve for x
    x = 142,592,744,320.71/402,127.22
  6. Step 6: Final answer
    x = 354,596.10

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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.