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Finding the Fourth Proportional to 521,534.64, 719,692.92 and 320,291.76

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Solution

The fourth proportional to 521,534.64, 719,692.92 and 320,291.76 is: 441,987.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,534.64 : 719,692.92 = 320,291.76 : x
  2. Step 2: Convert to fraction form
    521,534.64/719,692.92 = 320,291.76/x
  3. Step 3: Cross multiply
    521,534.64x = 719,692.92 × 320,291.76
  4. Step 4: Simplify right side
    521,534.64x = 230,511,712,006.34
  5. Step 5: Solve for x
    x = 230,511,712,006.34/521,534.64
  6. Step 6: Final answer
    x = 441,987.35

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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.