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Finding the Fourth Proportional to 309,689.56, 464,220.62 and 209,859.84

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Solution

The fourth proportional to 309,689.56, 464,220.62 and 209,859.84 is: 314,577.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,689.56 : 464,220.62 = 209,859.84 : x
  2. Step 2: Convert to fraction form
    309,689.56/464,220.62 = 209,859.84/x
  3. Step 3: Cross multiply
    309,689.56x = 464,220.62 × 209,859.84
  4. Step 4: Simplify right side
    309,689.56x = 97,421,265,037.90
  5. Step 5: Solve for x
    x = 97,421,265,037.90/309,689.56
  6. Step 6: Final answer
    x = 314,577.17

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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.