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Finding the Fourth Proportional to 392,798.88, 589,456.62 and 215,430.40

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Solution

The fourth proportional to 392,798.88, 589,456.62 and 215,430.40 is: 323,287.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,798.88 : 589,456.62 = 215,430.40 : x
  2. Step 2: Convert to fraction form
    392,798.88/589,456.62 = 215,430.40/x
  3. Step 3: Cross multiply
    392,798.88x = 589,456.62 × 215,430.40
  4. Step 4: Simplify right side
    392,798.88x = 126,986,875,429.25
  5. Step 5: Solve for x
    x = 126,986,875,429.25/392,798.88
  6. Step 6: Final answer
    x = 323,287.26

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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.