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Finding the Fourth Proportional to 392,904.12, 589,768.44 and 348,211.40

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Solution

The fourth proportional to 392,904.12, 589,768.44 and 348,211.40 is: 522,682.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,904.12 : 589,768.44 = 348,211.40 : x
  2. Step 2: Convert to fraction form
    392,904.12/589,768.44 = 348,211.40/x
  3. Step 3: Cross multiply
    392,904.12x = 589,768.44 × 348,211.40
  4. Step 4: Simplify right side
    392,904.12x = 205,364,094,168.22
  5. Step 5: Solve for x
    x = 205,364,094,168.22/392,904.12
  6. Step 6: Final answer
    x = 522,682.47

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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.