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Finding the Fourth Proportional to 470,691, 706,036.50 and 138,267

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Solution

The fourth proportional to 470,691, 706,036.50 and 138,267 is: 207,400.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,691 : 706,036.50 = 138,267 : x
  2. Step 2: Convert to fraction form
    470,691/706,036.50 = 138,267/x
  3. Step 3: Cross multiply
    470,691x = 706,036.50 × 138,267
  4. Step 4: Simplify right side
    470,691x = 97,621,548,745.50
  5. Step 5: Solve for x
    x = 97,621,548,745.50/470,691
  6. Step 6: Final answer
    x = 207,400.50

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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.