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Finding the Fourth Proportional to 261,296, 360,578.04 and 153,870.56

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Solution

The fourth proportional to 261,296, 360,578.04 and 153,870.56 is: 212,335.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,296 : 360,578.04 = 153,870.56 : x
  2. Step 2: Convert to fraction form
    261,296/360,578.04 = 153,870.56/x
  3. Step 3: Cross multiply
    261,296x = 360,578.04 × 153,870.56
  4. Step 4: Simplify right side
    261,296x = 55,482,344,938.50
  5. Step 5: Solve for x
    x = 55,482,344,938.50/261,296
  6. Step 6: Final answer
    x = 212,335.22

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1.5x scale

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.