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Finding the Fourth Proportional to 434,719.20, 652,078.80 and 392,728.80

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Solution

The fourth proportional to 434,719.20, 652,078.80 and 392,728.80 is: 589,093.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,719.20 : 652,078.80 = 392,728.80 : x
  2. Step 2: Convert to fraction form
    434,719.20/652,078.80 = 392,728.80/x
  3. Step 3: Cross multiply
    434,719.20x = 652,078.80 × 392,728.80
  4. Step 4: Simplify right side
    434,719.20x = 256,090,124,629.44
  5. Step 5: Solve for x
    x = 256,090,124,629.44/434,719.20
  6. Step 6: Final answer
    x = 589,093.20

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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.