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Finding the Fourth Proportional to 523,154.64, 721,977.12 and 308,303.76

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Solution

The fourth proportional to 523,154.64, 721,977.12 and 308,303.76 is: 425,473.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,154.64 : 721,977.12 = 308,303.76 : x
  2. Step 2: Convert to fraction form
    523,154.64/721,977.12 = 308,303.76/x
  3. Step 3: Cross multiply
    523,154.64x = 721,977.12 × 308,303.76
  4. Step 4: Simplify right side
    523,154.64x = 222,588,260,729.97
  5. Step 5: Solve for x
    x = 222,588,260,729.97/523,154.64
  6. Step 6: Final answer
    x = 425,473.17

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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.