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Finding the Fourth Proportional to 261,306, 360,591.84 and 153,880.56

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Solution

The fourth proportional to 261,306, 360,591.84 and 153,880.56 is: 212,349.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,306 : 360,591.84 = 153,880.56 : x
  2. Step 2: Convert to fraction form
    261,306/360,591.84 = 153,880.56/x
  3. Step 3: Cross multiply
    261,306x = 360,591.84 × 153,880.56
  4. Step 4: Simplify right side
    261,306x = 55,488,074,270.63
  5. Step 5: Solve for x
    x = 55,488,074,270.63/261,306
  6. Step 6: Final answer
    x = 212,349.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.