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Finding the Fourth Proportional to 409,361.50, 564,897 and 225,594.10

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Solution

The fourth proportional to 409,361.50, 564,897 and 225,594.10 is: 311,307.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,361.50 : 564,897 = 225,594.10 : x
  2. Step 2: Convert to fraction form
    409,361.50/564,897 = 225,594.10/x
  3. Step 3: Cross multiply
    409,361.50x = 564,897 × 225,594.10
  4. Step 4: Simplify right side
    409,361.50x = 127,437,430,307.70
  5. Step 5: Solve for x
    x = 127,437,430,307.70/409,361.50
  6. Step 6: Final answer
    x = 311,307.81

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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.