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Finding the Fourth Proportional to 469,901.90, 648,465.17 and 255,042

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Solution

The fourth proportional to 469,901.90, 648,465.17 and 255,042 is: 351,958.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,901.90 : 648,465.17 = 255,042 : x
  2. Step 2: Convert to fraction form
    469,901.90/648,465.17 = 255,042/x
  3. Step 3: Cross multiply
    469,901.90x = 648,465.17 × 255,042
  4. Step 4: Simplify right side
    469,901.90x = 165,385,852,611.93
  5. Step 5: Solve for x
    x = 165,385,852,611.93/469,901.90
  6. Step 6: Final answer
    x = 351,958.26

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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.