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Finding the Fourth Proportional to 407,708.40, 611,708.40 and 171,123.60

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Solution

The fourth proportional to 407,708.40, 611,708.40 and 171,123.60 is: 256,746.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,708.40 : 611,708.40 = 171,123.60 : x
  2. Step 2: Convert to fraction form
    407,708.40/611,708.40 = 171,123.60/x
  3. Step 3: Cross multiply
    407,708.40x = 611,708.40 × 171,123.60
  4. Step 4: Simplify right side
    407,708.40x = 104,677,743,558.24
  5. Step 5: Solve for x
    x = 104,677,743,558.24/407,708.40
  6. Step 6: Final answer
    x = 256,746.60

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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.