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Finding the Fourth Proportional to 349,500.60, 523,905.30 and 138,857.40

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Solution

The fourth proportional to 349,500.60, 523,905.30 and 138,857.40 is: 208,148.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,500.60 : 523,905.30 = 138,857.40 : x
  2. Step 2: Convert to fraction form
    349,500.60/523,905.30 = 138,857.40/x
  3. Step 3: Cross multiply
    349,500.60x = 523,905.30 × 138,857.40
  4. Step 4: Simplify right side
    349,500.60x = 72,748,127,804.22
  5. Step 5: Solve for x
    x = 72,748,127,804.22/349,500.60
  6. Step 6: Final answer
    x = 208,148.79

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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.