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Finding the Fourth Proportional to 549,258.90, 757,943.82 and 304,229.13

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Solution

The fourth proportional to 549,258.90, 757,943.82 and 304,229.13 is: 419,817.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,258.90 : 757,943.82 = 304,229.13 : x
  2. Step 2: Convert to fraction form
    549,258.90/757,943.82 = 304,229.13/x
  3. Step 3: Cross multiply
    549,258.90x = 757,943.82 × 304,229.13
  4. Step 4: Simplify right side
    549,258.90x = 230,588,588,947.48
  5. Step 5: Solve for x
    x = 230,588,588,947.48/549,258.90
  6. Step 6: Final answer
    x = 419,817.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.