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Finding the Fourth Proportional to 542,907.90, 814,750.65 and 305,999.10

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Solution

The fourth proportional to 542,907.90, 814,750.65 and 305,999.10 is: 459,217.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,907.90 : 814,750.65 = 305,999.10 : x
  2. Step 2: Convert to fraction form
    542,907.90/814,750.65 = 305,999.10/x
  3. Step 3: Cross multiply
    542,907.90x = 814,750.65 × 305,999.10
  4. Step 4: Simplify right side
    542,907.90x = 249,312,965,624.42
  5. Step 5: Solve for x
    x = 249,312,965,624.42/542,907.90
  6. Step 6: Final answer
    x = 459,217.79

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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.