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Finding the Fourth Proportional to 347,659.40, 521,277.90 and 137,054.60

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Solution

The fourth proportional to 347,659.40, 521,277.90 and 137,054.60 is: 205,498.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,659.40 : 521,277.90 = 137,054.60 : x
  2. Step 2: Convert to fraction form
    347,659.40/521,277.90 = 137,054.60/x
  3. Step 3: Cross multiply
    347,659.40x = 521,277.90 × 137,054.60
  4. Step 4: Simplify right side
    347,659.40x = 71,443,534,073.34
  5. Step 5: Solve for x
    x = 71,443,534,073.34/347,659.40
  6. Step 6: Final answer
    x = 205,498.64

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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.