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Finding the Fourth Proportional to 360,814.52, 497,595.08 and 309,811.28

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Solution

The fourth proportional to 360,814.52, 497,595.08 and 309,811.28 is: 427,257.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,814.52 : 497,595.08 = 309,811.28 : x
  2. Step 2: Convert to fraction form
    360,814.52/497,595.08 = 309,811.28/x
  3. Step 3: Cross multiply
    360,814.52x = 497,595.08 × 309,811.28
  4. Step 4: Simplify right side
    360,814.52x = 154,160,568,656.50
  5. Step 5: Solve for x
    x = 154,160,568,656.50/360,814.52
  6. Step 6: Final answer
    x = 427,257.11

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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.