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Finding the Fourth Proportional to 432,577, 648,865.50 and 137,089

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Solution

The fourth proportional to 432,577, 648,865.50 and 137,089 is: 205,633.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,577 : 648,865.50 = 137,089 : x
  2. Step 2: Convert to fraction form
    432,577/648,865.50 = 137,089/x
  3. Step 3: Cross multiply
    432,577x = 648,865.50 × 137,089
  4. Step 4: Simplify right side
    432,577x = 88,952,322,529.50
  5. Step 5: Solve for x
    x = 88,952,322,529.50/432,577
  6. Step 6: Final answer
    x = 205,633.50

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1.5x scale

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.