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Finding the Fourth Proportional to 242,012.34, 362,437.13 and 135,133.65

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Solution

The fourth proportional to 242,012.34, 362,437.13 and 135,133.65 is: 202,375.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,012.34 : 362,437.13 = 135,133.65 : x
  2. Step 2: Convert to fraction form
    242,012.34/362,437.13 = 135,133.65/x
  3. Step 3: Cross multiply
    242,012.34x = 362,437.13 × 135,133.65
  4. Step 4: Simplify right side
    242,012.34x = 48,977,452,610.26
  5. Step 5: Solve for x
    x = 48,977,452,610.26/242,012.34
  6. Step 6: Final answer
    x = 202,375.85

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1.5x scale

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.