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Finding the Fourth Proportional to 309,699.57, 464,235.62 and 209,869.86

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Solution

The fourth proportional to 309,699.57, 464,235.62 and 209,869.86 is: 314,592.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,699.57 : 464,235.62 = 209,869.86 : x
  2. Step 2: Convert to fraction form
    309,699.57/464,235.62 = 209,869.86/x
  3. Step 3: Cross multiply
    309,699.57x = 464,235.62 × 209,869.86
  4. Step 4: Simplify right side
    309,699.57x = 97,429,063,527.06
  5. Step 5: Solve for x
    x = 97,429,063,527.06/309,699.57
  6. Step 6: Final answer
    x = 314,592.18

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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.