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Finding the Fourth Proportional to 407,146.60, 610,428.30 and 170,367.40

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Solution

The fourth proportional to 407,146.60, 610,428.30 and 170,367.40 is: 255,429.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,146.60 : 610,428.30 = 170,367.40 : x
  2. Step 2: Convert to fraction form
    407,146.60/610,428.30 = 170,367.40/x
  3. Step 3: Cross multiply
    407,146.60x = 610,428.30 × 170,367.40
  4. Step 4: Simplify right side
    407,146.60x = 103,997,082,357.42
  5. Step 5: Solve for x
    x = 103,997,082,357.42/407,146.60
  6. Step 6: Final answer
    x = 255,429.08

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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.