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Finding the Fourth Proportional to 309,727, 464,276.76 and 209,897.32

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Solution

The fourth proportional to 309,727, 464,276.76 and 209,897.32 is: 314,633.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,727 : 464,276.76 = 209,897.32 : x
  2. Step 2: Convert to fraction form
    309,727/464,276.76 = 209,897.32/x
  3. Step 3: Cross multiply
    309,727x = 464,276.76 × 209,897.32
  4. Step 4: Simplify right side
    309,727x = 97,450,447,662.28
  5. Step 5: Solve for x
    x = 97,450,447,662.28/309,727
  6. Step 6: Final answer
    x = 314,633.36

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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.