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Finding the Fourth Proportional to 492,349.40, 679,444.03 and 311,141.86

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Solution

The fourth proportional to 492,349.40, 679,444.03 and 311,141.86 is: 429,376.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,349.40 : 679,444.03 = 311,141.86 : x
  2. Step 2: Convert to fraction form
    492,349.40/679,444.03 = 311,141.86/x
  3. Step 3: Cross multiply
    492,349.40x = 679,444.03 × 311,141.86
  4. Step 4: Simplify right side
    492,349.40x = 211,403,479,260.10
  5. Step 5: Solve for x
    x = 211,403,479,260.10/492,349.40
  6. Step 6: Final answer
    x = 429,376.94

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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.