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Finding the Fourth Proportional to 392,710.05, 589,071 and 149,564.58

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Solution

The fourth proportional to 392,710.05, 589,071 and 149,564.58 is: 224,349.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,710.05 : 589,071 = 149,564.58 : x
  2. Step 2: Convert to fraction form
    392,710.05/589,071 = 149,564.58/x
  3. Step 3: Cross multiply
    392,710.05x = 589,071 × 149,564.58
  4. Step 4: Simplify right side
    392,710.05x = 88,104,156,705.18
  5. Step 5: Solve for x
    x = 88,104,156,705.18/392,710.05
  6. Step 6: Final answer
    x = 224,349.13

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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.