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Finding the Fourth Proportional to 292,642.16, 438,624.39 and 134,538.80

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Solution

The fourth proportional to 292,642.16, 438,624.39 and 134,538.80 is: 201,652.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,642.16 : 438,624.39 = 134,538.80 : x
  2. Step 2: Convert to fraction form
    292,642.16/438,624.39 = 134,538.80/x
  3. Step 3: Cross multiply
    292,642.16x = 438,624.39 × 134,538.80
  4. Step 4: Simplify right side
    292,642.16x = 59,011,999,081.33
  5. Step 5: Solve for x
    x = 59,011,999,081.33/292,642.16
  6. Step 6: Final answer
    x = 201,652.42

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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.