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Finding the Fourth Proportional to 385,419.14, 577,929.53 and 169,189.38

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Solution

The fourth proportional to 385,419.14, 577,929.53 and 169,189.38 is: 253,696.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,419.14 : 577,929.53 = 169,189.38 : x
  2. Step 2: Convert to fraction form
    385,419.14/577,929.53 = 169,189.38/x
  3. Step 3: Cross multiply
    385,419.14x = 577,929.53 × 169,189.38
  4. Step 4: Simplify right side
    385,419.14x = 97,779,536,934.83
  5. Step 5: Solve for x
    x = 97,779,536,934.83/385,419.14
  6. Step 6: Final answer
    x = 253,696.63

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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.