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Finding the Fourth Proportional to 340,069.30, 510,082.35 and 115,429.30

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Solution

The fourth proportional to 340,069.30, 510,082.35 and 115,429.30 is: 173,136.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,069.30 : 510,082.35 = 115,429.30 : x
  2. Step 2: Convert to fraction form
    340,069.30/510,082.35 = 115,429.30/x
  3. Step 3: Cross multiply
    340,069.30x = 510,082.35 × 115,429.30
  4. Step 4: Simplify right side
    340,069.30x = 58,878,448,602.86
  5. Step 5: Solve for x
    x = 58,878,448,602.86/340,069.30
  6. Step 6: Final answer
    x = 173,136.62

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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.