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Finding the Fourth Proportional to 470,912.67, 706,369.01 and 138,488.67

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Solution

The fourth proportional to 470,912.67, 706,369.01 and 138,488.67 is: 207,733.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,912.67 : 706,369.01 = 138,488.67 : x
  2. Step 2: Convert to fraction form
    470,912.67/706,369.01 = 138,488.67/x
  3. Step 3: Cross multiply
    470,912.67x = 706,369.01 × 138,488.67
  4. Step 4: Simplify right side
    470,912.67x = 97,824,104,031.67
  5. Step 5: Solve for x
    x = 97,824,104,031.67/470,912.67
  6. Step 6: Final answer
    x = 207,733.01

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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.