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Finding the Fourth Proportional to 338,971.40, 508,457.10 and 86,251.40

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Solution

The fourth proportional to 338,971.40, 508,457.10 and 86,251.40 is: 129,377.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,971.40 : 508,457.10 = 86,251.40 : x
  2. Step 2: Convert to fraction form
    338,971.40/508,457.10 = 86,251.40/x
  3. Step 3: Cross multiply
    338,971.40x = 508,457.10 × 86,251.40
  4. Step 4: Simplify right side
    338,971.40x = 43,855,136,714.94
  5. Step 5: Solve for x
    x = 43,855,136,714.94/338,971.40
  6. Step 6: Final answer
    x = 129,377.10

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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.