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Finding the Fourth Proportional to 435,186, 653,779.62 and 309,132.72

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Solution

The fourth proportional to 435,186, 653,779.62 and 309,132.72 is: 464,409.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,186 : 653,779.62 = 309,132.72 : x
  2. Step 2: Convert to fraction form
    435,186/653,779.62 = 309,132.72/x
  3. Step 3: Cross multiply
    435,186x = 653,779.62 × 309,132.72
  4. Step 4: Simplify right side
    435,186x = 202,104,672,211.17
  5. Step 5: Solve for x
    x = 202,104,672,211.17/435,186
  6. Step 6: Final answer
    x = 464,409.87

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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.