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Finding the Fourth Proportional to 407,121.60, 610,390.80 and 170,342.40

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Solution

The fourth proportional to 407,121.60, 610,390.80 and 170,342.40 is: 255,391.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,121.60 : 610,390.80 = 170,342.40 : x
  2. Step 2: Convert to fraction form
    407,121.60/610,390.80 = 170,342.40/x
  3. Step 3: Cross multiply
    407,121.60x = 610,390.80 × 170,342.40
  4. Step 4: Simplify right side
    407,121.60x = 103,975,433,809.92
  5. Step 5: Solve for x
    x = 103,975,433,809.92/407,121.60
  6. Step 6: Final answer
    x = 255,391.59

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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.