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Finding the Fourth Proportional to 470,763, 706,144.50 and 138,339

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Solution

The fourth proportional to 470,763, 706,144.50 and 138,339 is: 207,508.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,763 : 706,144.50 = 138,339 : x
  2. Step 2: Convert to fraction form
    470,763/706,144.50 = 138,339/x
  3. Step 3: Cross multiply
    470,763x = 706,144.50 × 138,339
  4. Step 4: Simplify right side
    470,763x = 97,687,323,985.50
  5. Step 5: Solve for x
    x = 97,687,323,985.50/470,763
  6. Step 6: Final answer
    x = 207,508.50

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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.