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Finding the Fourth Proportional to 420,569.40, 630,863.04 and 150,715.14

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Solution

The fourth proportional to 420,569.40, 630,863.04 and 150,715.14 is: 226,075.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,569.40 : 630,863.04 = 150,715.14 : x
  2. Step 2: Convert to fraction form
    420,569.40/630,863.04 = 150,715.14/x
  3. Step 3: Cross multiply
    420,569.40x = 630,863.04 × 150,715.14
  4. Step 4: Simplify right side
    420,569.40x = 95,080,611,394.43
  5. Step 5: Solve for x
    x = 95,080,611,394.43/420,569.40
  6. Step 6: Final answer
    x = 226,075.91

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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.