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Finding the Fourth Proportional to 401,455.58, 602,057.82 and 145,255.82

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Solution

The fourth proportional to 401,455.58, 602,057.82 and 145,255.82 is: 217,838.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,455.58 : 602,057.82 = 145,255.82 : x
  2. Step 2: Convert to fraction form
    401,455.58/602,057.82 = 145,255.82/x
  3. Step 3: Cross multiply
    401,455.58x = 602,057.82 × 145,255.82
  4. Step 4: Simplify right side
    401,455.58x = 87,452,402,331.51
  5. Step 5: Solve for x
    x = 87,452,402,331.51/401,455.58
  6. Step 6: Final answer
    x = 217,838.30

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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.