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Finding the Fourth Proportional to 531,972, 798,108 and 216,655.20

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Solution

The fourth proportional to 531,972, 798,108 and 216,655.20 is: 325,043.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,972 : 798,108 = 216,655.20 : x
  2. Step 2: Convert to fraction form
    531,972/798,108 = 216,655.20/x
  3. Step 3: Cross multiply
    531,972x = 798,108 × 216,655.20
  4. Step 4: Simplify right side
    531,972x = 172,914,248,361.60
  5. Step 5: Solve for x
    x = 172,914,248,361.60/531,972
  6. Step 6: Final answer
    x = 325,043.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.