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Finding the Fourth Proportional to 661,478.40, 991,123.20 and 380,505.60

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Solution

The fourth proportional to 661,478.40, 991,123.20 and 380,505.60 is: 570,128.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,478.40 : 991,123.20 = 380,505.60 : x
  2. Step 2: Convert to fraction form
    661,478.40/991,123.20 = 380,505.60/x
  3. Step 3: Cross multiply
    661,478.40x = 991,123.20 × 380,505.60
  4. Step 4: Simplify right side
    661,478.40x = 377,127,927,889.92
  5. Step 5: Solve for x
    x = 377,127,927,889.92/661,478.40
  6. Step 6: Final answer
    x = 570,128.86

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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.