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Finding the Fourth Proportional to 712,536.96, 1,068,779.52 and 213,888

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Solution

The fourth proportional to 712,536.96, 1,068,779.52 and 213,888 is: 320,824.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,536.96 : 1,068,779.52 = 213,888 : x
  2. Step 2: Convert to fraction form
    712,536.96/1,068,779.52 = 213,888/x
  3. Step 3: Cross multiply
    712,536.96x = 1,068,779.52 × 213,888
  4. Step 4: Simplify right side
    712,536.96x = 228,599,113,973.76
  5. Step 5: Solve for x
    x = 228,599,113,973.76/712,536.96
  6. Step 6: Final answer
    x = 320,824.22

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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.