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Finding the Fourth Proportional to 838,062, 1,156,503.40 and 456,080.58

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Solution

The fourth proportional to 838,062, 1,156,503.40 and 456,080.58 is: 629,379.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,062 : 1,156,503.40 = 456,080.58 : x
  2. Step 2: Convert to fraction form
    838,062/1,156,503.40 = 456,080.58/x
  3. Step 3: Cross multiply
    838,062x = 1,156,503.40 × 456,080.58
  4. Step 4: Simplify right side
    838,062x = 527,458,741,443.97
  5. Step 5: Solve for x
    x = 527,458,741,443.97/838,062
  6. Step 6: Final answer
    x = 629,379.14

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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.