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Finding the Fourth Proportional to 418,192.08, 627,288.12 and 102,646.32

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Solution

The fourth proportional to 418,192.08, 627,288.12 and 102,646.32 is: 153,969.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,192.08 : 627,288.12 = 102,646.32 : x
  2. Step 2: Convert to fraction form
    418,192.08/627,288.12 = 102,646.32/x
  3. Step 3: Cross multiply
    418,192.08x = 627,288.12 × 102,646.32
  4. Step 4: Simplify right side
    418,192.08x = 64,388,817,097.72
  5. Step 5: Solve for x
    x = 64,388,817,097.72/418,192.08
  6. Step 6: Final answer
    x = 153,969.48

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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.