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Finding the Fourth Proportional to 474,006.40, 711,009.60 and 306,044.80

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Solution

The fourth proportional to 474,006.40, 711,009.60 and 306,044.80 is: 459,067.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,006.40 : 711,009.60 = 306,044.80 : x
  2. Step 2: Convert to fraction form
    474,006.40/711,009.60 = 306,044.80/x
  3. Step 3: Cross multiply
    474,006.40x = 711,009.60 × 306,044.80
  4. Step 4: Simplify right side
    474,006.40x = 217,600,790,830.08
  5. Step 5: Solve for x
    x = 217,600,790,830.08/474,006.40
  6. Step 6: Final answer
    x = 459,067.20

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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.