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Finding the Fourth Proportional to 435,164, 653,746.62 and 309,110.72

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Solution

The fourth proportional to 435,164, 653,746.62 and 309,110.72 is: 464,376.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,164 : 653,746.62 = 309,110.72 : x
  2. Step 2: Convert to fraction form
    435,164/653,746.62 = 309,110.72/x
  3. Step 3: Cross multiply
    435,164x = 653,746.62 × 309,110.72
  4. Step 4: Simplify right side
    435,164x = 202,080,088,405.77
  5. Step 5: Solve for x
    x = 202,080,088,405.77/435,164
  6. Step 6: Final answer
    x = 464,376.85

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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.