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Finding the Fourth Proportional to 304,959.15, 420,595.07 and 214,614.45

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Solution

The fourth proportional to 304,959.15, 420,595.07 and 214,614.45 is: 295,993.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,959.15 : 420,595.07 = 214,614.45 : x
  2. Step 2: Convert to fraction form
    304,959.15/420,595.07 = 214,614.45/x
  3. Step 3: Cross multiply
    304,959.15x = 420,595.07 × 214,614.45
  4. Step 4: Simplify right side
    304,959.15x = 90,265,778,547.69
  5. Step 5: Solve for x
    x = 90,265,778,547.69/304,959.15
  6. Step 6: Final answer
    x = 295,993.02

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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.