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Finding the Fourth Proportional to 415,678.66, 573,587.81 and 234,379.79

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Solution

The fourth proportional to 415,678.66, 573,587.81 and 234,379.79 is: 323,416.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,678.66 : 573,587.81 = 234,379.79 : x
  2. Step 2: Convert to fraction form
    415,678.66/573,587.81 = 234,379.79/x
  3. Step 3: Cross multiply
    415,678.66x = 573,587.81 × 234,379.79
  4. Step 4: Simplify right side
    415,678.66x = 134,437,390,454.36
  5. Step 5: Solve for x
    x = 134,437,390,454.36/415,678.66
  6. Step 6: Final answer
    x = 323,416.63

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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.