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Finding the Fourth Proportional to 399,688.32, 598,458.14 and 304,464.88

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Solution

The fourth proportional to 399,688.32, 598,458.14 and 304,464.88 is: 455,878.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,688.32 : 598,458.14 = 304,464.88 : x
  2. Step 2: Convert to fraction form
    399,688.32/598,458.14 = 304,464.88/x
  3. Step 3: Cross multiply
    399,688.32x = 598,458.14 × 304,464.88
  4. Step 4: Simplify right side
    399,688.32x = 182,209,485,780.12
  5. Step 5: Solve for x
    x = 182,209,485,780.12/399,688.32
  6. Step 6: Final answer
    x = 455,878.94

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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.