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Finding the Fourth Proportional to 403,430.90, 604,971.38 and 137,119.91

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Solution

The fourth proportional to 403,430.90, 604,971.38 and 137,119.91 is: 205,620.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,430.90 : 604,971.38 = 137,119.91 : x
  2. Step 2: Convert to fraction form
    403,430.90/604,971.38 = 137,119.91/x
  3. Step 3: Cross multiply
    403,430.90x = 604,971.38 × 137,119.91
  4. Step 4: Simplify right side
    403,430.90x = 82,953,618,496.12
  5. Step 5: Solve for x
    x = 82,953,618,496.12/403,430.90
  6. Step 6: Final answer
    x = 205,620.39

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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.