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Finding the Fourth Proportional to 428,813.12, 591,798.40 and 237,888

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Solution

The fourth proportional to 428,813.12, 591,798.40 and 237,888 is: 328,305.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,813.12 : 591,798.40 = 237,888 : x
  2. Step 2: Convert to fraction form
    428,813.12/591,798.40 = 237,888/x
  3. Step 3: Cross multiply
    428,813.12x = 591,798.40 × 237,888
  4. Step 4: Simplify right side
    428,813.12x = 140,781,737,779.20
  5. Step 5: Solve for x
    x = 140,781,737,779.20/428,813.12
  6. Step 6: Final answer
    x = 328,305.57

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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.