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Finding the Fourth Proportional to 309,706.71, 464,246.31 and 209,877

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Solution

The fourth proportional to 309,706.71, 464,246.31 and 209,877 is: 314,602.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,706.71 : 464,246.31 = 209,877 : x
  2. Step 2: Convert to fraction form
    309,706.71/464,246.31 = 209,877/x
  3. Step 3: Cross multiply
    309,706.71x = 464,246.31 × 209,877
  4. Step 4: Simplify right side
    309,706.71x = 97,434,622,803.87
  5. Step 5: Solve for x
    x = 97,434,622,803.87/309,706.71
  6. Step 6: Final answer
    x = 314,602.88

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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.