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Finding the Fourth Proportional to 298,908.10, 411,653.37 and 292,376.26

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Solution

The fourth proportional to 298,908.10, 411,653.37 and 292,376.26 is: 402,657.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,908.10 : 411,653.37 = 292,376.26 : x
  2. Step 2: Convert to fraction form
    298,908.10/411,653.37 = 292,376.26/x
  3. Step 3: Cross multiply
    298,908.10x = 411,653.37 × 292,376.26
  4. Step 4: Simplify right side
    298,908.10x = 120,357,672,737.00
  5. Step 5: Solve for x
    x = 120,357,672,737.00/298,908.10
  6. Step 6: Final answer
    x = 402,657.78

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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.