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Finding the Fourth Proportional to 469,515.20, 704,272.80 and 137,091.20

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Solution

The fourth proportional to 469,515.20, 704,272.80 and 137,091.20 is: 205,636.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,515.20 : 704,272.80 = 137,091.20 : x
  2. Step 2: Convert to fraction form
    469,515.20/704,272.80 = 137,091.20/x
  3. Step 3: Cross multiply
    469,515.20x = 704,272.80 × 137,091.20
  4. Step 4: Simplify right side
    469,515.20x = 96,549,603,279.36
  5. Step 5: Solve for x
    x = 96,549,603,279.36/469,515.20
  6. Step 6: Final answer
    x = 205,636.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.