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Finding the Fourth Proportional to 401,639.32, 602,090.34 and 138,799

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Solution

The fourth proportional to 401,639.32, 602,090.34 and 138,799 is: 208,071.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,639.32 : 602,090.34 = 138,799 : x
  2. Step 2: Convert to fraction form
    401,639.32/602,090.34 = 138,799/x
  3. Step 3: Cross multiply
    401,639.32x = 602,090.34 × 138,799
  4. Step 4: Simplify right side
    401,639.32x = 83,569,537,101.66
  5. Step 5: Solve for x
    x = 83,569,537,101.66/401,639.32
  6. Step 6: Final answer
    x = 208,071.10

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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.