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Finding the Fourth Proportional to 391,547.40, 587,297.34 and 138,840.36

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Solution

The fourth proportional to 391,547.40, 587,297.34 and 138,840.36 is: 208,252.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,547.40 : 587,297.34 = 138,840.36 : x
  2. Step 2: Convert to fraction form
    391,547.40/587,297.34 = 138,840.36/x
  3. Step 3: Cross multiply
    391,547.40x = 587,297.34 × 138,840.36
  4. Step 4: Simplify right side
    391,547.40x = 81,540,574,112.64
  5. Step 5: Solve for x
    x = 81,540,574,112.64/391,547.40
  6. Step 6: Final answer
    x = 208,252.11

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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.