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Finding the Fourth Proportional to 340,272.56, 510,486.30 and 103,633.70

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Solution

The fourth proportional to 340,272.56, 510,486.30 and 103,633.70 is: 155,474.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,272.56 : 510,486.30 = 103,633.70 : x
  2. Step 2: Convert to fraction form
    340,272.56/510,486.30 = 103,633.70/x
  3. Step 3: Cross multiply
    340,272.56x = 510,486.30 × 103,633.70
  4. Step 4: Simplify right side
    340,272.56x = 52,903,584,068.31
  5. Step 5: Solve for x
    x = 52,903,584,068.31/340,272.56
  6. Step 6: Final answer
    x = 155,474.14

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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.