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Finding the Fourth Proportional to 470,914.98, 706,372.44 and 138,490.98

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Solution

The fourth proportional to 470,914.98, 706,372.44 and 138,490.98 is: 207,736.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,914.98 : 706,372.44 = 138,490.98 : x
  2. Step 2: Convert to fraction form
    470,914.98/706,372.44 = 138,490.98/x
  3. Step 3: Cross multiply
    470,914.98x = 706,372.44 × 138,490.98
  4. Step 4: Simplify right side
    470,914.98x = 97,826,211,460.59
  5. Step 5: Solve for x
    x = 97,826,211,460.59/470,914.98
  6. Step 6: Final answer
    x = 207,736.46

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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.