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Finding the Fourth Proportional to 712,287, 1,068,430.50 and 213,651

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Solution

The fourth proportional to 712,287, 1,068,430.50 and 213,651 is: 320,476.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,287 : 1,068,430.50 = 213,651 : x
  2. Step 2: Convert to fraction form
    712,287/1,068,430.50 = 213,651/x
  3. Step 3: Cross multiply
    712,287x = 1,068,430.50 × 213,651
  4. Step 4: Simplify right side
    712,287x = 228,271,244,755.50
  5. Step 5: Solve for x
    x = 228,271,244,755.50/712,287
  6. Step 6: Final answer
    x = 320,476.50

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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.