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Finding the Fourth Proportional to 566,701, 782,029.02 and 312,045.64

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Solution

The fourth proportional to 566,701, 782,029.02 and 312,045.64 is: 430,612.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,701 : 782,029.02 = 312,045.64 : x
  2. Step 2: Convert to fraction form
    566,701/782,029.02 = 312,045.64/x
  3. Step 3: Cross multiply
    566,701x = 782,029.02 × 312,045.64
  4. Step 4: Simplify right side
    566,701x = 244,028,746,044.47
  5. Step 5: Solve for x
    x = 244,028,746,044.47/566,701
  6. Step 6: Final answer
    x = 430,612.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.