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Finding the Fourth Proportional to 391,056.98, 586,807.38 and 211,140.02

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Solution

The fourth proportional to 391,056.98, 586,807.38 and 211,140.02 is: 316,829.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,056.98 : 586,807.38 = 211,140.02 : x
  2. Step 2: Convert to fraction form
    391,056.98/586,807.38 = 211,140.02/x
  3. Step 3: Cross multiply
    391,056.98x = 586,807.38 × 211,140.02
  4. Step 4: Simplify right side
    391,056.98x = 123,898,521,949.35
  5. Step 5: Solve for x
    x = 123,898,521,949.35/391,056.98
  6. Step 6: Final answer
    x = 316,829.84

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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.