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Finding the Fourth Proportional to 531,675.66, 733,671.63 and 305,394.06

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Solution

The fourth proportional to 531,675.66, 733,671.63 and 305,394.06 is: 421,420.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,675.66 : 733,671.63 = 305,394.06 : x
  2. Step 2: Convert to fraction form
    531,675.66/733,671.63 = 305,394.06/x
  3. Step 3: Cross multiply
    531,675.66x = 733,671.63 × 305,394.06
  4. Step 4: Simplify right side
    531,675.66x = 224,058,957,792.52
  5. Step 5: Solve for x
    x = 224,058,957,792.52/531,675.66
  6. Step 6: Final answer
    x = 421,420.38

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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.