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Finding the Fourth Proportional to 385,507.36, 578,191.36 and 104,959

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Solution

The fourth proportional to 385,507.36, 578,191.36 and 104,959 is: 157,419.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,507.36 : 578,191.36 = 104,959 : x
  2. Step 2: Convert to fraction form
    385,507.36/578,191.36 = 104,959/x
  3. Step 3: Cross multiply
    385,507.36x = 578,191.36 × 104,959
  4. Step 4: Simplify right side
    385,507.36x = 60,686,386,954.24
  5. Step 5: Solve for x
    x = 60,686,386,954.24/385,507.36
  6. Step 6: Final answer
    x = 157,419.53

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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.