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Finding the Fourth Proportional to 428,811.10, 591,795.66 and 237,886

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Solution

The fourth proportional to 428,811.10, 591,795.66 and 237,886 is: 328,302.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,811.10 : 591,795.66 = 237,886 : x
  2. Step 2: Convert to fraction form
    428,811.10/591,795.66 = 237,886/x
  3. Step 3: Cross multiply
    428,811.10x = 591,795.66 × 237,886
  4. Step 4: Simplify right side
    428,811.10x = 140,779,902,374.76
  5. Step 5: Solve for x
    x = 140,779,902,374.76/428,811.10
  6. Step 6: Final answer
    x = 328,302.84

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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.