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Finding the Fourth Proportional to 401,548.51, 602,378.25 and 135,385.12

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Solution

The fourth proportional to 401,548.51, 602,378.25 and 135,385.12 is: 203,096.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,548.51 : 602,378.25 = 135,385.12 : x
  2. Step 2: Convert to fraction form
    401,548.51/602,378.25 = 135,385.12/x
  3. Step 3: Cross multiply
    401,548.51x = 602,378.25 × 135,385.12
  4. Step 4: Simplify right side
    401,548.51x = 81,553,051,661.64
  5. Step 5: Solve for x
    x = 81,553,051,661.64/401,548.51
  6. Step 6: Final answer
    x = 203,096.39

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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.