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Finding the Fourth Proportional to 531,973, 798,109.50 and 216,656.20

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Solution

The fourth proportional to 531,973, 798,109.50 and 216,656.20 is: 325,045.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,973 : 798,109.50 = 216,656.20 : x
  2. Step 2: Convert to fraction form
    531,973/798,109.50 = 216,656.20/x
  3. Step 3: Cross multiply
    531,973x = 798,109.50 × 216,656.20
  4. Step 4: Simplify right side
    531,973x = 172,915,371,453.90
  5. Step 5: Solve for x
    x = 172,915,371,453.90/531,973
  6. Step 6: Final answer
    x = 325,045.39

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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.