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Finding the Fourth Proportional to 391,202.80, 586,804.16 and 213,612.93

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Solution

The fourth proportional to 391,202.80, 586,804.16 and 213,612.93 is: 320,419.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,202.80 : 586,804.16 = 213,612.93 : x
  2. Step 2: Convert to fraction form
    391,202.80/586,804.16 = 213,612.93/x
  3. Step 3: Cross multiply
    391,202.80x = 586,804.16 × 213,612.93
  4. Step 4: Simplify right side
    391,202.80x = 125,348,956,487.82
  5. Step 5: Solve for x
    x = 125,348,956,487.82/391,202.80
  6. Step 6: Final answer
    x = 320,419.38

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1.5x scale

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.