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Finding the Fourth Proportional to 309,901.62, 427,916.32 and 252,549.38

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Solution

The fourth proportional to 309,901.62, 427,916.32 and 252,549.38 is: 348,723.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,901.62 : 427,916.32 = 252,549.38 : x
  2. Step 2: Convert to fraction form
    309,901.62/427,916.32 = 252,549.38/x
  3. Step 3: Cross multiply
    309,901.62x = 427,916.32 × 252,549.38
  4. Step 4: Simplify right side
    309,901.62x = 108,070,001,307.88
  5. Step 5: Solve for x
    x = 108,070,001,307.88/309,901.62
  6. Step 6: Final answer
    x = 348,723.58

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1.5x scale

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.