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Finding the Fourth Proportional to 678,864.16, 936,728.40 and 392,328.91

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Solution

The fourth proportional to 678,864.16, 936,728.40 and 392,328.91 is: 541,353.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,864.16 : 936,728.40 = 392,328.91 : x
  2. Step 2: Convert to fraction form
    678,864.16/936,728.40 = 392,328.91/x
  3. Step 3: Cross multiply
    678,864.16x = 936,728.40 × 392,328.91
  4. Step 4: Simplify right side
    678,864.16x = 367,505,632,138.04
  5. Step 5: Solve for x
    x = 367,505,632,138.04/678,864.16
  6. Step 6: Final answer
    x = 541,353.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.