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Finding the Fourth Proportional to 566,709.31, 782,030.78 and 312,012.91

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Solution

The fourth proportional to 566,709.31, 782,030.78 and 312,012.91 is: 430,562.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,709.31 : 782,030.78 = 312,012.91 : x
  2. Step 2: Convert to fraction form
    566,709.31/782,030.78 = 312,012.91/x
  3. Step 3: Cross multiply
    566,709.31x = 782,030.78 × 312,012.91
  4. Step 4: Simplify right side
    566,709.31x = 244,003,695,467.22
  5. Step 5: Solve for x
    x = 244,003,695,467.22/566,709.31
  6. Step 6: Final answer
    x = 430,562.36

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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.