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Finding the Fourth Proportional to 502,998.75, 754,500.06 and 477,771.75

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Solution

The fourth proportional to 502,998.75, 754,500.06 and 477,771.75 is: 716,659.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,998.75 : 754,500.06 = 477,771.75 : x
  2. Step 2: Convert to fraction form
    502,998.75/754,500.06 = 477,771.75/x
  3. Step 3: Cross multiply
    502,998.75x = 754,500.06 × 477,771.75
  4. Step 4: Simplify right side
    502,998.75x = 360,478,814,041.31
  5. Step 5: Solve for x
    x = 360,478,814,041.31/502,998.75
  6. Step 6: Final answer
    x = 716,659.46

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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.