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Finding the Fourth Proportional to 470,883.47, 706,325.22 and 138,459.47

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Solution

The fourth proportional to 470,883.47, 706,325.22 and 138,459.47 is: 207,689.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,883.47 : 706,325.22 = 138,459.47 : x
  2. Step 2: Convert to fraction form
    470,883.47/706,325.22 = 138,459.47/x
  3. Step 3: Cross multiply
    470,883.47x = 706,325.22 × 138,459.47
  4. Step 4: Simplify right side
    470,883.47x = 97,797,412,077.21
  5. Step 5: Solve for x
    x = 97,797,412,077.21/470,883.47
  6. Step 6: Final answer
    x = 207,689.20

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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.