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Finding the Fourth Proportional to 512,824.80, 707,294.70 and 478,447.50

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Solution

The fourth proportional to 512,824.80, 707,294.70 and 478,447.50 is: 659,881.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,824.80 : 707,294.70 = 478,447.50 : x
  2. Step 2: Convert to fraction form
    512,824.80/707,294.70 = 478,447.50/x
  3. Step 3: Cross multiply
    512,824.80x = 707,294.70 × 478,447.50
  4. Step 4: Simplify right side
    512,824.80x = 338,403,380,978.25
  5. Step 5: Solve for x
    x = 338,403,380,978.25/512,824.80
  6. Step 6: Final answer
    x = 659,881.08

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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.