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Finding the Fourth Proportional to 357,869.48, 493,854 and 196,721.06

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Solution

The fourth proportional to 357,869.48, 493,854 and 196,721.06 is: 271,471.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,869.48 : 493,854 = 196,721.06 : x
  2. Step 2: Convert to fraction form
    357,869.48/493,854 = 196,721.06/x
  3. Step 3: Cross multiply
    357,869.48x = 493,854 × 196,721.06
  4. Step 4: Simplify right side
    357,869.48x = 97,151,482,365.24
  5. Step 5: Solve for x
    x = 97,151,482,365.24/357,869.48
  6. Step 6: Final answer
    x = 271,471.83

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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.