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Finding the Fourth Proportional to 398,210.90, 597,298.95 and 128,333.05

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Solution

The fourth proportional to 398,210.90, 597,298.95 and 128,333.05 is: 192,493.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,210.90 : 597,298.95 = 128,333.05 : x
  2. Step 2: Convert to fraction form
    398,210.90/597,298.95 = 128,333.05/x
  3. Step 3: Cross multiply
    398,210.90x = 597,298.95 × 128,333.05
  4. Step 4: Simplify right side
    398,210.90x = 76,653,194,522.05
  5. Step 5: Solve for x
    x = 76,653,194,522.05/398,210.90
  6. Step 6: Final answer
    x = 192,493.97

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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.