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Finding the Fourth Proportional to 391,164.80, 586,228.80 and 346,582.40

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Solution

The fourth proportional to 391,164.80, 586,228.80 and 346,582.40 is: 519,414.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,164.80 : 586,228.80 = 346,582.40 : x
  2. Step 2: Convert to fraction form
    391,164.80/586,228.80 = 346,582.40/x
  3. Step 3: Cross multiply
    391,164.80x = 586,228.80 × 346,582.40
  4. Step 4: Simplify right side
    391,164.80x = 203,176,584,453.12
  5. Step 5: Solve for x
    x = 203,176,584,453.12/391,164.80
  6. Step 6: Final answer
    x = 519,414.28

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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.