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Finding the Fourth Proportional to 371,780.72, 513,056.42 and 202,014.86

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Solution

The fourth proportional to 371,780.72, 513,056.42 and 202,014.86 is: 278,779.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,780.72 : 513,056.42 = 202,014.86 : x
  2. Step 2: Convert to fraction form
    371,780.72/513,056.42 = 202,014.86/x
  3. Step 3: Cross multiply
    371,780.72x = 513,056.42 × 202,014.86
  4. Step 4: Simplify right side
    371,780.72x = 103,645,020,858.40
  5. Step 5: Solve for x
    x = 103,645,020,858.40/371,780.72
  6. Step 6: Final answer
    x = 278,779.98

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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.