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Finding the Fourth Proportional to 356,689.59, 492,235.65 and 203,748

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Solution

The fourth proportional to 356,689.59, 492,235.65 and 203,748 is: 281,174.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,689.59 : 492,235.65 = 203,748 : x
  2. Step 2: Convert to fraction form
    356,689.59/492,235.65 = 203,748/x
  3. Step 3: Cross multiply
    356,689.59x = 492,235.65 × 203,748
  4. Step 4: Simplify right side
    356,689.59x = 100,292,029,216.20
  5. Step 5: Solve for x
    x = 100,292,029,216.20/356,689.59
  6. Step 6: Final answer
    x = 281,174.53

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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.