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Finding the Fourth Proportional to 340,421.12, 510,705.08 and 169,735.89

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Solution

The fourth proportional to 340,421.12, 510,705.08 and 169,735.89 is: 254,640.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,421.12 : 510,705.08 = 169,735.89 : x
  2. Step 2: Convert to fraction form
    340,421.12/510,705.08 = 169,735.89/x
  3. Step 3: Cross multiply
    340,421.12x = 510,705.08 × 169,735.89
  4. Step 4: Simplify right side
    340,421.12x = 86,684,981,281.32
  5. Step 5: Solve for x
    x = 86,684,981,281.32/340,421.12
  6. Step 6: Final answer
    x = 254,640.43

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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.