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Finding the Fourth Proportional to 386,043.40, 578,870.70 and 228,320.20

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Solution

The fourth proportional to 386,043.40, 578,870.70 and 228,320.20 is: 342,365.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,043.40 : 578,870.70 = 228,320.20 : x
  2. Step 2: Convert to fraction form
    386,043.40/578,870.70 = 228,320.20/x
  3. Step 3: Cross multiply
    386,043.40x = 578,870.70 × 228,320.20
  4. Step 4: Simplify right side
    386,043.40x = 132,167,873,998.14
  5. Step 5: Solve for x
    x = 132,167,873,998.14/386,043.40
  6. Step 6: Final answer
    x = 342,365.32

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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.