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Finding the Fourth Proportional to 566,902.80, 782,325.78 and 312,253.98

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Solution

The fourth proportional to 566,902.80, 782,325.78 and 312,253.98 is: 430,910.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,902.80 : 782,325.78 = 312,253.98 : x
  2. Step 2: Convert to fraction form
    566,902.80/782,325.78 = 312,253.98/x
  3. Step 3: Cross multiply
    566,902.80x = 782,325.78 × 312,253.98
  4. Step 4: Simplify right side
    566,902.80x = 244,284,338,461.60
  5. Step 5: Solve for x
    x = 244,284,338,461.60/566,902.80
  6. Step 6: Final answer
    x = 430,910.45

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1.5x scale

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.