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Finding the Fourth Proportional to 309,527.70, 464,332.86 and 122,495.46

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Solution

The fourth proportional to 309,527.70, 464,332.86 and 122,495.46 is: 183,759.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,527.70 : 464,332.86 = 122,495.46 : x
  2. Step 2: Convert to fraction form
    309,527.70/464,332.86 = 122,495.46/x
  3. Step 3: Cross multiply
    309,527.70x = 464,332.86 × 122,495.46
  4. Step 4: Simplify right side
    309,527.70x = 56,878,667,278.82
  5. Step 5: Solve for x
    x = 56,878,667,278.82/309,527.70
  6. Step 6: Final answer
    x = 183,759.54

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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.