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Finding the Fourth Proportional to 521,518.64, 719,670.82 and 320,275.76

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Solution

The fourth proportional to 521,518.64, 719,670.82 and 320,275.76 is: 441,965.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,518.64 : 719,670.82 = 320,275.76 : x
  2. Step 2: Convert to fraction form
    521,518.64/719,670.82 = 320,275.76/x
  3. Step 3: Cross multiply
    521,518.64x = 719,670.82 × 320,275.76
  4. Step 4: Simplify right side
    521,518.64x = 230,493,118,825.32
  5. Step 5: Solve for x
    x = 230,493,118,825.32/521,518.64
  6. Step 6: Final answer
    x = 441,965.26

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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.