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Finding the Fourth Proportional to 432,579, 648,868.50 and 137,091

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Solution

The fourth proportional to 432,579, 648,868.50 and 137,091 is: 205,636.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,579 : 648,868.50 = 137,091 : x
  2. Step 2: Convert to fraction form
    432,579/648,868.50 = 137,091/x
  3. Step 3: Cross multiply
    432,579x = 648,868.50 × 137,091
  4. Step 4: Simplify right side
    432,579x = 88,954,031,533.50
  5. Step 5: Solve for x
    x = 88,954,031,533.50/432,579
  6. Step 6: Final answer
    x = 205,636.50

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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.