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Finding the Fourth Proportional to 514,580.70, 710,467.90 and 321,282.70

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Solution

The fourth proportional to 514,580.70, 710,467.90 and 321,282.70 is: 443,586.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,580.70 : 710,467.90 = 321,282.70 : x
  2. Step 2: Convert to fraction form
    514,580.70/710,467.90 = 321,282.70/x
  3. Step 3: Cross multiply
    514,580.70x = 710,467.90 × 321,282.70
  4. Step 4: Simplify right side
    514,580.70x = 228,261,045,175.33
  5. Step 5: Solve for x
    x = 228,261,045,175.33/514,580.70
  6. Step 6: Final answer
    x = 443,586.49

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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.