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Finding the Fourth Proportional to 546,719.40, 820,079.10 and 192,133.80

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Solution

The fourth proportional to 546,719.40, 820,079.10 and 192,133.80 is: 288,200.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,719.40 : 820,079.10 = 192,133.80 : x
  2. Step 2: Convert to fraction form
    546,719.40/820,079.10 = 192,133.80/x
  3. Step 3: Cross multiply
    546,719.40x = 820,079.10 × 192,133.80
  4. Step 4: Simplify right side
    546,719.40x = 157,564,913,783.58
  5. Step 5: Solve for x
    x = 157,564,913,783.58/546,719.40
  6. Step 6: Final answer
    x = 288,200.70

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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.