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Finding the Fourth Proportional to 566,903.80, 782,327.16 and 312,255

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Solution

The fourth proportional to 566,903.80, 782,327.16 and 312,255 is: 430,911.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,903.80 : 782,327.16 = 312,255 : x
  2. Step 2: Convert to fraction form
    566,903.80/782,327.16 = 312,255/x
  3. Step 3: Cross multiply
    566,903.80x = 782,327.16 × 312,255
  4. Step 4: Simplify right side
    566,903.80x = 244,285,567,345.80
  5. Step 5: Solve for x
    x = 244,285,567,345.80/566,903.80
  6. Step 6: Final answer
    x = 430,911.85

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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.