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Finding the Fourth Proportional to 546,389.08, 819,729.54 and 172,419.16

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Solution

The fourth proportional to 546,389.08, 819,729.54 and 172,419.16 is: 258,674.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,389.08 : 819,729.54 = 172,419.16 : x
  2. Step 2: Convert to fraction form
    546,389.08/819,729.54 = 172,419.16/x
  3. Step 3: Cross multiply
    546,389.08x = 819,729.54 × 172,419.16
  4. Step 4: Simplify right side
    546,389.08x = 141,337,078,713.99
  5. Step 5: Solve for x
    x = 141,337,078,713.99/546,389.08
  6. Step 6: Final answer
    x = 258,674.79

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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.