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Finding the Fourth Proportional to 401,636.32, 602,085.84 and 138,796

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Solution

The fourth proportional to 401,636.32, 602,085.84 and 138,796 is: 208,066.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,636.32 : 602,085.84 = 138,796 : x
  2. Step 2: Convert to fraction form
    401,636.32/602,085.84 = 138,796/x
  3. Step 3: Cross multiply
    401,636.32x = 602,085.84 × 138,796
  4. Step 4: Simplify right side
    401,636.32x = 83,567,106,248.64
  5. Step 5: Solve for x
    x = 83,567,106,248.64/401,636.32
  6. Step 6: Final answer
    x = 208,066.61

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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.